College of Science / Department of Mathematics

Prof. Awni Fayez Al-Dababseh


Professor
Prof. Awni Fayez Al-Dababseh

Curriculum Vitae
  • Major: Algebra
  • College: College of Science
  • Department(s): Mathematics Department
  • E-mail: awni@ahu.edu.jo
  • Phone No.: 0795417118

Awni Al-Dababseh was born in Jordan in 1969. He is a Professor of  Pure Math at Department of  Mathematics in Al-Hussein Bin Talal university since 2015
He got his PhD in Abstract Algebra  from Gomel Stat University in Belarus at 2000.  His research interests are on n-ary group theory,  solvable finite groups ,Formations of  finite .groups and n-ary groups
Awni Al-Dababseh participated in many scientific conferences and attended many 
workshops. Furthermore, he is a reviver for many journals
Al-Dababseh teaches several courses related to abstract algebra and is supervising many graduate students

  • Abstract finite groups and n-ary groups.
  • Solvable finite groups and  n-ary groups.
  • Algebric systems .
  • Formations of  finite groups and n-ary groups.

 

Permutable subgroups of groups of order 16
  • Research Summary
    • A subgroup $H$ of a group $G$ is said to be permutable subgroup if and only if $HK=KH$ for every subgroup $K$ of $G$. Certainly, every normal subgroup is permutable. The converse is not true. In this research we will find all permutable subgroups of the groups of order $16$. Then, find which subgroup is permutable and not normal.
  • Research link
  • key words
    Group, normal subgroup, permutable subgroup
Subgroup structure of finite n-ary groups
  • Research Summary
    • In this paper, we establish some properties of subgroup structure of finite n-ary groups.
  • Research link
  • key words
    Finite n-ary group; Idempotent element; Derived group
The Impact of Employing Technology in Teaching a Mathematics Course
  • Research Summary
    • This paper investigates the effect of employing technology in enhancing the learning outcomes of an introductory mathematics course. The students of the course were divided into two sections: the experimental section and the control section. The two sections were taught the material of the course using the traditional face-to-face method. However, the students in the experimental section had the advantage to practise on the concepts of the course using a software application. The performance of the students in both sections was compared and the results showed that the students in the experimental section outperformed their counterparts in the control section.
  • Research link
  • key words
    higher education; computer-aided instruction; CAI; innovation; blended learning; mathematics education; educational technology; introductory mathematics.
Permutable subgroups of groups of order 16
  • Research Summary
    • A subgroup $H$ of a group $G$ is said to be permutable subgroup if and only if $HK=KH$ for every subgroup $K$ of $G$. Certainly, every normal subgroup is permutable. The converse is not true. In this research we will find all permutable subgroups of the groups of order $16$. Then, find which subgroup is permutable and not normal.
  • Research link
  • key words
    Group, normal subgroup, permutable subgroup
An Upper Bound To The Number of Conjugacy Classes of Non-Abelian Nilpotent Groups
  • Research Summary
    • The number of conjugacy classes of symmetric group, dihedral group and some nilpotent groups is obtained. Until now, it has not been obtained for all nilpotent groups. Although there are some lower bounds to this value, there is no non-trivial upper bound. This paper aims to investigate an upper bound to this number for all finite nilpotent groups. Moreover, the exact number of conjugacy classes is found for a certain case of non-abelian nilpotent groups.
  • Research link
  • key words
    conjugacy classes, nilpotent group
On Bipermutable and S-Bipermutable subgroups
  • Research Summary
    • Let H be a subgroup of a finite group G. Then we say that H is: bipermutable in G provided G has subgroups A and B such that G = AB, H ≤ A and H permutes with all subgroups of A and with all subgroups of B; S-bipermutable in G provided G has subgroups A and B such that G = AB, H ≤ A and H permutes with all Sylow subgroups of A and with all Sylow p-subgroups of B such that (|H|, p) = 1. In this paper we analyze the influence of bipermutable and S-bipermutable subgroups on the structure of G.
  • Research link
  • key words
    bipermutable ,S-bipermutable subgroup
On the p-supersolubility of one class of finite groups
  • Research Summary
    • It is proved that a finite group G=AB is supersoluble provided that A and B are such supersolube subgroups of G that every cyclic subgroup of A permutes with every Sylow subgroup of B and if in return every cyclic subgroup of B permutes with every Sylow subgroup of A.
  • Research link
  • key words
    finite group supersoluble group permutable subgroups product of subgroups
Nonlinear Anti-Synchronization of Two Hyperchaotic Systems
  • Research Summary
    • Based on the nonlinear control theory, the anti-synchronization between two different hyperchaotic systems is investigated. Through rigorous mathematical theory, the sufficient condition is drawn for the stability of the error dynamics, where the controllers are designed by using the sum of the relevant variables in hyperchaotic systems. Numerical simulations are performed for to demonstrate the effectiveness of the proposed control strategy
  • Research link
  • key words
    Nonlinear control; Anti-synchronization; Lyapunov direct method
Finite groups with X-permutable maximal subgroups of Sylow subgroups
  • Research Summary
    • Let A, B be subgroups of a group G and ... ≠ X ⊆ G. Then, A is said to be X-permutable with B [6] if there exists an element x ∈ X such that ABx = Bx A. In this paper we study finite groups in which maximal subgroups of Sylow subgroups are X-permutable either with maximal subgroups or with Sylow subgroups.
  • Research link
  • key words
    X-permutable maximal, Sylow subgroups
Some conditions for P-Solubility of Finite Groups
  • Research Summary
    • A subgroup H of a group G is c-subnormal in G if G has a subnormal subgroup T such that HT=G and T 3 H ⊆ HG.[1] Using this concept, in Jaraden obtain[1] some new conditions for solubility of a finite group are given. Here we obtain local versions of these results.
  • Research link
  • key words
    P-Solubility
On Permutable Subgroups of n-ary Groups
  • Research Summary
    • It is proved that every permutable subgroup of a finite n-ary group is subnormal.
  • Research link
  • key words
    Permutable Subgroups subnormal
Lattices of formation and Schunck classes of n-ary groups
On one question of the theory of w-composition formations.
On τ-Closed Formations of n-Ary Group
  • Research Summary
    • We prove that if G is a nonsingle-element n-ary finite group that belongs to a τ-closed formation F, then G/soc(G)∈Φτ(F), where Φτ(F) is the intersection of all maximal τ-closed subformations of the τ-closed formation of n-ary groups F.
  • Research link
  • key words
    τ-Closed Formations
On generated τ-closed semiformation and formation n- ary groups
Tow remarks on τ-closed formation of finite n-ary groups
On τ-closed formation and semiformation n-ary groups
Examples subgroups functors Skiba in the theory of n-ary groups
Formations and Schunck classes of n-ary groups
Structure of operator τ form
On existence subgroups in finite n-ary groups
On lattice formations of finite n-ary groups

 

1.The International Conference on Mathematics and Related Sciences conference,April

27-30,2019.Intalia-Turkye, “Permutable subgroups of groups of order p3”

 

2. “The International Conference on Algebra and its Applications”. April 26-28,2017,FST  Errachidia, Morocco. “On Finite Groups in Which Semipermutability is a Transitive Relation.”

 

3.”Mathematics and its applications” Al-Imam Muhammad Ibn Saud University. Kingdom of Saudi Arabia, Riyadah.March 23-24,2011” Subgroup structure of finite n-ary groups”

 

4. "Geometric group theory , random walks and harmonic analysis"

Cortona , Italy , June 13-18,2004.  "On super solubility of some finite

factorizable  groups "

 

5. "The first Arab Conference in Mathematics" Applied Science Private University,     Amman 6-8 October 2004.

 

6. " Second Jordanian National Tempus Day ", PSUT , Amman-Jordan

       2 October 2005.

7. Second Scientific Conference, ALLalbaet University, Mafrak - Jordan   

       21و22/5/2002

      " On A question in the theory of formation "

8. There'd Scientific Conference, ALLalbaet University, Mafrak - Jordan      8و9/5/2003

  " On maximal subgroups of finite groups "

 9.Globalization and the Future of  Education Conference, Al-Hussein Bin Talal University, Ma'an-Jordan 10-12/5/2005

 

 "Using Fisher Function to discriminate  the gifted students in the elementary stage in Ma'an school's"

10. Petra International Conference on Mathematics , 24,24 October 2007
     Al-Hussein Bin Talal University, Ma'an-Jordan (Rapport ).

11. " Second international algebraic conference   "  Ukraine, Kyiv-Vinnytsia. October 1999.   "On existence subgroups in finite n-ary groups".

 

 

 

     Second Jordanian National Tempus Day ", PSUT, Amman-Jordan,                          2 October 2005

,Arabic Council for Training Arab Students. Al-Hussein Bin Talal University Jordan. August 9/2007

Fourth Scientific Conference for students in higher education in the Kingdom of Saudi Arabia, April,2013

Quality and academic accreditation at Al-Hussein Bin Talal University, May 2021, Ma'an, Jordan, workshop

1.    Curriculums Preparation Committee Member

2.    Students’ Problems Investigation Committee Member

3.    Micro-Strategic Plan Committee Member

4.    University Council Member

5.    Faculty Council Member

6.    Faculty Budget Committee Member

7.    Faculty Equipment Specification Committee Chairman

8.    Faculty Curriculums Preparation Committee Member

 

. Member, Master degree in Mathematics for Mohmmad Tashtoosh” Cs-normal subgroups”. Al – Albaet University  , Jordan, 2006

    

 

2. Member, Master degree in Mathematics for Mashaer Moraya Farajallah Al-Saeedi ” On p-Subgroups of a Finite Group” , Taibah University ,KSA, 2012.

 

3.Member, Master degree in Mathematics for Amjad Mohammad Bani-Ismaeel “On Matrix Theory And Some Applications”, Mutah University, Jordan ,2016.

 

4.Supervisor, Master degree in Mathematics for Asma Ismail Eleisah “Permutable Subgroups of Groups of Order 16” Al Hussein Bin Talal University,Jordan,2018.

 

5.Member,Master degere in Mathematics for Alaaldin Tayseer Alshboul “On the classification of all groups og order 5^4”. Al Hussein Bin Talal University,Jordan,2019.

 

6.Member,Master degere in Mathematics for Amjad Mohmmad Bani-Ismaeel “On Matrix Theory and some Applications”. Mutah University, Jordan ,2016.

 

7. Member,Master degere in Mathematics for Bootheyna Algaradat “ Covering transformations of transnormal monifolds”. Mutah University, Jordan ,2020.

 

8. Supervisor(Assistant), Master degere in Mathematics for Suhib Alrtimat “ one Graph Reprezantation of Finite Groups”. Al Hussein Bin Talal University,Jordan,2020.

  

9. Member,Master degere in Mathematics for Ekram Radi Akhras “ On certain  subgroups lattices of finite groups”.     Al – Albaet University  , Jordan, 2020.

 

10. Supervisor(Assistant), Master degere in Mathematics for Hasan Aljonde “On groups of the same order type”. Al Hussein Bin Talal University,Jordan,2020.

 

3

 

 1. Scholarship, September 1987, Jordanian Ministry of Education based on the    General Secondary Examination / Scientific Stream.

 

     2. Student in the Pioneer Center for Gifted students. As-Salt ,Jordan(1984-1987)

 

3.    General Secondary Certificate Exam (GSCE): Scientific Stream, Percentage Average 89,9% (Jul. 1987), Salt Secondary School, As-Salt , Jordan.

4.    Certificate of Teaching Russian Language for Non-Russians: (Sep. 1991 – June. 1993), Donetsk State University, Donetsk, Ukraine.

            (Web Site: http://www.donnu.edu.ua).

 

Sep.2015 Present  Professor: AL-HUSSEIN BIN TALAL UNIVERSITY, Faculty of Science, Department of Mathematics.

Sep.2014- Sep.2015 Associate Professor: AL-HUSSEIN BIN TALAL UNIVERSITY, Faculty of Science, Department of Mathematics.

Sep. 2009 – Sep.2014 Associate Professor: University of Hail, Faculty of Science, Department of Mathematics, Saudi Arabia.

March 2006- Sep.2009 Associate Professor: AL-HUSSEIN BIN TALAL UNIVERSITY, Faculty of Science, Department of Mathematics.

Sep.2003- March 2006 Assistant Professor: AL-HUSSEIN BIN TALAL UNIVERSITY, Faculty of Science, Department of Mathematics.

Sep.2000-Sep.2003 Assistant Professor: APPLIED SCIENCE UNIVERSITY, Faculty of Science, Department of Mathematics.

Aug. 1993 –Aug.1996: Ministry of education – Jordan, Teacher of Mathematics.  

    


March.2011-Feb.2013: Head of Mathematics Department, Faculty of Science, University of  Hail , Hail , Saudi Arabia

Sep.2006- Sep.2008: Head of Mathematics & Statistics Department, Al-Hussein Bin Talal University, Ma'an, Jordan

July  2004- Sep. 2005: Head of Mathematics & Statistics Department, Al-Hussein Bin Talal University, Ma'an, Jordan


Undergraduate
Postgraduate

1. Eucledian Geometry

2. Abstract Algebra (1)

3. Abstract Algebra (2)

4. Linear Algebra (1)

5. Linear Algebra (2)

6. Number Theory

7. Eucledian and Non-Eucledian Geometry

8. Differntial equations(1)

9. Mathematics for Classroom Teachers (I) 

10. Mathematics for Classroom Teachers (2)

11. Discrete Mathematics

12. Calculus (1)

13. Calculus (2)

14. Calculus (3)

15. Foundations of Mathematics

 16. Engineering Mathematics.

17. Abstract Algebra (1) for Master students.

 

 

 Languages

 

Arabic:    Mother Tongue

English:  Reading (good), Writing (good) and Conversation (good)

Russian: Reading (very good), Writing (very good) and Conversation (very good)

Academic qualifications and certificates

  1. Ph.D. in Mathematics (Algebra) (Sep. 1996 – June, 2000), Gomel State University, Gomel, Belarus. (Web Site: http://www.gsu.unibel.by).

      Ph.D. Dissertation Title:

      " Modular Lattices of classes finite n-ary group "


2.   Diploma (Bachelor + Master)  in Mathematics: (Sep. 1987 – Jun. 1993), Donetsk            State   University, Donetsk, Ukraine.

(Web Site: http://www.donnu.edu.ua).

      M.Sc. Dissertation Title:

       " The control of the vibration of a rotating rod"

 

  1. General Secondary Certificate Exam (GSCE): Scientific Stream, Percentage Average 89,9% (Jul. 1987), Salt Secondary School,As- Salt , Jordan.

office hours

sun.10-11,tus.10-11,wend.12-13

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