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Algebra and Group Theory

The Algebra & Group Theory research group at military college of signals NUST focuses research activities related to Linear Groups, Theory of Group Graphs, and Permutation Groups.

Group Head

Dr. Muhammad Ashiq
m.ashiq@mcs.edu.pk
+92-51-9271504

Collaborations

 Department of Mathematics, Quaid-i-Azam University Islamabad, Pakistan

 Publications

  • The Symmetric Groups as Quotients of G3,8,720, Math. Japonica, 37, 1(1992), 9-16. (co-authors Q.Mushtaq and T. Maqsood). MR 1148511.
  • Factor Groups of G5,5,120, Communications in Algebra, 20, 12(1992), 3759-3767 (co-authors Q.Mushtaq and T. Maqsood). MR 1191978.
  • The Quotients of G5,7,84, Math. Japonicae, 40, 2 (1994), 349-353 (co-authors Q.Mushtaq  and T. Maqsood). MR 1297253. 
  • On the Group G4,5,276, Kobe Jour. Math., 12 (1995), 1-7 (co-author T. Maqsood and Q.Mushtaq). MR 1362219.
  • Alternating or Symmetric Groups as Quotients of G5,5,60, Algebra Colloquium, 4,3 (1996), 379-382 (co-author Q.Mushtaq). MR 1422976.
  •  The Quotients of  ,   European Jour.  Combinatorics,   22, 7(2001),  905-909 (co-authors: M.Aslam, Q.Mushtaq, T.Maqsood). MR 1857253. 
  • The Quotients of  ,   European Jour.  Combinatorics,   22, 7(2001),  905-909 (co-authors: M.Aslam, Q.Mushtaq, T.Maqsood). MR 1857253.
  • The Coxeter Group  ,   Communications in Algebra, 30, 5(2002), 2175-2182 (co-authors: Q.Mushtaq, T. Maqsood, and M.Aslam). MR 1904532.
  • Parametrization of   on    Advances in Algebra – Proc. of ICM Sattellite Coference in Algebra and Related Topics (2002), 264-270, (co-author Q.Mushtaq). MR 2088447.
  • Homomorphic Images of    as Subgroups of  , Algebras, Groups and Geometries, 20,4(2003), 485-500 (co-authors: M.Aslam, Q.Mushtaq, T.Maqsood). MR 2030402.
  • Real Quadratic Irrational Numbers and the Group  , Southeast Asian Bulletin of Mathematics, Springer-Verlag, 27: (2003), 409-415, (co-authors: M.Aslam, Q.Mushtaq,T.Maqsood). MR 2045552.
  • Finite Presentation of a Linear-Fractional Group, Algebra Colloquium,  (co-author Q. Mushtaq). MR 2183507.
  • Action of a two Generator Group on a Real Quadratic Field, Southeast Asian Bulletin of Mathematics, 30: (2006), 399 – 404. MR 2243682 .
  •  Action of a Subgroup of the Modular Group on an Imaginary Quadratic Field, Quasigroups and Related Systems, 14(2006), 133 - 146.
  • Action of a 2-generated group on  : The Parametrization Problem,  Algebras, Groups and Geometries, 24(2007), 187 - 202.Triangle Groups  , The Egyptian mathematical Society, Cairo, vol.1(2007), 35 – 43.
  • Coset Diagrams for a Homomorphic image of  ,  Acta Mathematica Scientia, 28B(2008), 363 – 370.
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