Name: MUHAMMAD ALAWI ALBAR
Date of Birth: 1952
Telephone (03) 860-2632 (Office), (03) 860-6978 (House)
Present Position: Professor,
Department of Mathematical Sciences
King Fahd University of Petroleum & Minerals (KFUPM)
Honorary Position: Professor of Mathematics
Area of Specialization: Algebra
Thesis Title: Analogues of the Braid Group.
1975-1976 M.Sc. Mathematics, King Fahd
University of Petroleum and Minerals
Thesis Title: Flat Modules.
1970-1975 B.Sc. Mathematics, KFUPM.
Areas of Interest: Combinatorial Group Theory, Braid Groups, Coxeter Groups, Groups of Deficiency Zero, Growth of Groups, Generators and
Relations of Groups.
Professional Society Membership:
• American Mathematical Society (Member)
• Saudi Association for Mathematical Sciences (Member of the Board).
Career History and Teaching Experience:
a) Graduate Assistant KFUPM (1975-1976):
Math 001, Math 002, Math 003: Preparatory Year Mathematics
Math 101, Math 102: Calculus 1,11
Math 141, Math 142: Applied Calculus 1,11
b) Lecturer KFUPM (1976-1978):
Math 001, Math002, Math 003: Preparatory Year Mathematics
Math 101, Math102, Math 201: Calculus 1,11,111
Math 141, Math142: Applied Calculus 1,11
Math 202: Differential Equations
Math 241: Applied Differential Equations
G.S. 446, G.S. 145: Islamic Ideology
G.S. 245: Islamic Social System
c) Part-Time Lecturer, The Centre of Mathematics and Science, Dammam (1976-78):
Courses Taught: Set Theory and Abstract Algebra.
Also taught special courses for the high school teachers organized by the Ministry of Education.
e) Assistant Professor, KFUPM (1982-86),
Associate Professor, KFUPM (1986-1999):
i) Graduate Courses Taught:
Math 541 Ring Theory (
Math 550 Linear Algebra
Math 554 Algebra II
Math 590 Combinatorial Group Theory
Math 610 Thesis
ii) Undergraduate Courses Taught:
Math 002: Preparatory Year Mathematics
Math 101, 102, 201: Calculus 1,11,111
Math 280: Introduction to Linear Algebra
Math 345: Introduction to Modern Algebra
Math 450: Modern Algebra
Math 452: Applied Algebra
Math 490: Supervised the senior seminar of two students
Math 499: Group Representations
Math 399: Summer training for math students for some courses.
a) Ph.D. Thesis:
Algebraic Structure of Finite Coxeter Groups”,
Written by the student Norah Al-Saleh,
2. “The Algebraic Structure of Infinite Coxeter Groups”, Written by the student Maha
b) M.Sc. Theses:
1. “Mennicke’s Groups of Deficiency Zero”, Written by the student Abdul-Aziz Al-Shuaibi, KFUPM (1986).
2. “Triangle Groups”, Written by the student Walid Al-Hamdan, KFUPM (1988).
3. “Finite Coxeter
Groups”, Written by the student Norah Al-Saleh,
4. “Infinite Coxeter
Groups”, Written by the student Maha Al-Hamed,
c) Member of M.Sc. Theses:
1. “S-Systems” by the student Khalid Saifullah, KFUPM (1988).
2. “Eigenvalues of Graphs”, Written by the student Faisal Fairag, KFUPM (1989).
3. “Bi-Simple Semigroups”, Written by the student Abdullah Shuibi, KFUPM (1991).
4. “Maximum Eigenvalue of a Tree”, Written by the student Walid Al-Jasem, KFUPM (1992).
5. “Spectrum of a Graph”, Written by Munther Furaidan, KFUPM (1996).
6. “Equational characterization of cyclic purity and single compactness” written by Balrabe Yushau, KFUPM, 1997.
7. “Some Properties of Bicyclic Extensions”, Syed Omar, KFUPM, 1998.
d) External Examiner of the following M.Sc. theses:
1. Applications of Certain Group Actions by Rola Hijazi,
2. Finite Transitive Groups by Ahmad Al-Solbi,
e) External Examiner of the following Ph.D. theses:
1. On the Diophantine
Equation by Fadwa Abu-Moriefa,
2. Strong Semilattices of Modules by Norah Al-Hajri,
Participation in Committees:
a) University Committees:
i) Student Affairs Committee (one year)
ii) Islamic Studies Committee (several years)
iii) Safety Committee (two years)
iv) Research Committee (two years)
v) Member of the Council of Deans (two years)
vi) Faculty Personnel Committee (one year)
vii) Graduate Council (several years)
viii) Admission and Academic Standing (one year)
ix) Aptitude test in the student’s admission exam (several years)
b) Departmental Committees:
i) Graduate Committee (chairman and member) (several years)
ii) Faculty Search Committee (chairman and member) (several years)
iii) Planning and Advisory Committee (chairman and member) (several years)
iv) Undergraduate Committee (several years)
v) Prep-Year Committee (several years)
vi) Curriculum Committee(Graduate Program, Undergraduate (several years)
Program and Student Advising -Chairman)
vii) Research Committee
viii) Algebra Scientific Group (member and coordinator)
i) Policies and Procedures (Chairman)
ii) Enhancement of Graduate Students Recruitment (Chairman)
iii) Linear Algebra Courses.
iv) Ph.D. Program in Pure Mathematics
v) Exams of multi-section courses
• Chairman, Department of Mathematical Sciences, KFUPM, 1990-1996.
• Honorary Professor of Mathematics in the
Papers in Refereed Journals:
1. M.A. Albar, ‘On Presentations of Group Extensions”, Communications in Algebra,
12(23) (1984), 2967-2975.
2. M.A. Albar, “Analogues of the Braid Groups and their Corresponding Coxeter Groups”, Communications in Algebra 12(23), 2977-2984, (1984).
3. M.A. Albar and D.L. Johnson, “Circular
4. D.L. Johnson and M.A. Albar, “The Centre of the Circular Braid Group”, Mathematica Japonica, 30(4) (1985), 641-645.
5. M.A. Albar, “On Mennicke Groups of Deficiency Zero I”, International Journal of Mathematics and Mathematical Sciences, Vol. 8, No. 4(1985), 821-824.
6. M.A. Albar, “On the Affine Weyl Group of Type ”, Internat. J. Math. and Math. Sci., Vol. 10, No. 1(1987), 147-154.
7. M.A. Albar and Norah Al-Saleh, “On the Affine Weyl Group of type Bn”, Math. Japonica 35, No. 4(1990), 599-602.
8. M.A. Albar and Abdul Aziz A. Al-Shuaibi, “On Mennicke Groups of Deficiency Zero II”, Canad. Math. Bull. Vol 34(3) (1991), 289-293.
9. M.A. Albar and Maha Al-Hamed, “The Affine Weyl Group of type ”, Math. Japonica 36, No. 5(1991), 943-945.
10. M.A. Albar and Walid M. Al-Hamdan, “The Triangle Groups”, Rend. Sem. Mat. Univ., Padova, Vol. 89(1993), 103-111.
11. M.A. Albar and Maha A. Al-Hamed, “On the Afiine Weyl Group of Type II”, Bull. Korean Math. Soc., No. 1(1993), 25-27.
12. M.A. Albar, Norah Al-Saleh and Maha Al-Hamed, “The Growth Series of Coxeter Groups”, Math. Japonica, 47, No. 3(1998), 417-428.
13. M.A. Albar and Norah Al-Saleh, “The Structure of the Coxeter Groups F4, Int. J. of Math. and Math. Sc., Vol. 22, 1999.
14. M.A. Albar and Maha
Al-Hamed, “The Structure of the Afflne
Weyl Group II”, Accepted by the
15. M.A. Albar and S.A. Huq, “Group theory based at any point”, Accepted by the
International Journal of Math. and Math. Sciences.
16. M.A. Albar and Norah Al-Saleh, “The Coxeter group Dn” International Journal of
Math. and Math. Sciences Vol. 24 No.12 (2000)
17. M.A. Albar, Maha Al-Hamed and Norah Al-Saleh, “On Four Generator Coxeter
Groups “ accepted by International Journal of Math. and Math. Sciences.
18. M.A. Albar, “On a subgroup of the group Qn accepted.
1. D.L. Johnson and M.A. Albar, “Rational Tangles”. This work was published in the book “Topics in the Theory of Group Presentations” by D.L. Johnson, Cambridge University Press, 1980.
2. Math articles in Arabic for the general readers:
(a) M.A. Albar, “Importance of Mathematics”, The Caravan Aug/Sep. 1988.
(b) M.A. Albar, “Modern Math”, The Caravan, Nov./Dec. 1988.
(c) M.A. Albar, “Now to Solve Math Problems”, Submitted.
(d) M.A. Albar, “The characteristics of Math”, Submitted.
3. M.A. Albar et al., Textbooks for High School Mathematics in the Gulf Countries. Eleven volumes are written containing Algebra, Trigonometry, Geometry and Elementary Calculus, 1996.
• “Rational Triangles” presented at the Thirty
Second British Math. Conference,
• “The Generalized Symmetric Group” presented
in the First International Math Conference,
• “Presentations of Group Extensions” presented in the International Conference on Infinite Group Theory, Krete, 1984.
• “Mennicke Groups
of Deficiency Zero”, Presented in International Conference of Math.,
• “Structure of Coxeter Groups”, in the First Symposium of the Saudi Association of Mathematical Sciences, 1994.
• “Affine Weyl Groups”, in the First Workshop on Algebra held in Institute of Basic Research, Monterdoni, Italy, 1995.
• “Growth of Groups”, in the First
International Conference on Math. and Applications,
• “The affine Weyl group C,,”, presented
in the Conference on Groups,
I worked on the following research projects which were approved by KFUPM Research
1. Analogues of the Braid Groups and their Corresponding Coxeter Groups (Coin-pleted in 1986).
2. Mennicke Groups of Deficiency Zero (Completed in 1989).
3. The Algebraic Structure of Coxeter Groups (Still in Progress).
Editing, Refereeing, Reviewing, etc:
1. Math. Editor of Arabian Journal for Science and Engineering (AJSE) from
1986 to 1993.
2. Lead Editor of a Theme Issue of AJSE on Boundary Value Problems, 1992.
Editor of the journal Algebras, Geometries and Groups
Editor of the Arab Journal of Math.,
b) Journal Refereeing:
I refereed research papers for the following journals:
2. Algebras, Groups and Geometries
4. Yarmouk Journal of Scientific Research
c) Other Refereeing:
I refereed research projects, books, curricula, etc. for the following institutions:
4. King Faisal Air-force College
5. General Directorate of the
d) Member of promotion committees to the rank of associate professor
in KFUPM, KAU and
Free Groups I
Free Groups II
4. Presentations of Groups Extensions KFUPM 1982
5. The Generalized Symmetric Group KFUPM 1982
6. Analogues of the Braid Group KFUPM 1983
7. The Affine Weyl Group KFUPM 1984
8. The Schreier—Reidmeister Method KFUPM 1984
9. Applications of Group Extensions KSU 1985
10. Mennicke Groups of Deficiency Zero KFUPM 1986
Geometry of Coxeter Groups
12. The Coxeter Group of Type B,, Ummul Qura Univ. 1989
13. The Affine Weyl Group C,, Ummul Qura Univ. 1990
14. Coxeter Groups KFUPM 1990
15. Infinite Coxeter Groups Ummul Qura Univ. 1991
16. The Structure of Coxeter Groups KFUPM 1994
17. The Coxeter group D,, KSU 1998
1. Represented the University in three conferences organized by the World Assembly of Muslim Youth, and attended several of such conferences.
2. Gave many lectures in the program organized by the Imairi Muhammad Bin Saud Islamic University for students pursuing their studies abroad.
3. Participated in the symposium of mathematics high school curricula
organized by the Ministry of Education in 1986 in
4. Helped the department of mathematics in the