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Military College of Signals  (MCS)
Dr. Muhammad Ashiq
Associate Professor
Department of Humanities & Basic Sciences

MCS
National University of Sciences and Technology (NUST)
Military College of Signals, Humayun Road, Rawalpindi.
Tel : +92-51-9271504

Specialization
Group Generalization/Theory of Group Graphs/Theory of Group Actions

Education
Ph.D (Mathematics) Quaid-e-Azam University Pakistan.

Dr. Muhammad Ashiq did his B.Sc. from Punjab University, Lahore in 1986 and M.Sc. in 1988, M.Phil. in 1991 and PhD in 2005 from Quaid-i-Azam University, Islamabad. His research is basically concentrated in the field of Group Theory, and Theory of Group Graphs. He has published a number of research papers in world reputed journals and presented research papers in various national and international conferences. 

He remained on the faculties of Federal College of Education H-9, Islamabad, Allama Iqbal Open University, Islamabad, NUST College of E & ME, MCE, Risalpur and PMA Kakul, Abbottabad. 

At present, he is doing the duty of Head of Department of Humanities & Basic Sciences in Military College of Signals, Rawalpindi, a constituent institution of National University of Sciences & Technology (NUST), Islamabad, Pakistan. 

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  • ​​Group Generalization
  • Theory of Group Graphs
  • Theory of Group Actions
  • ​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 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, (co-author Q. Mushtaq).
  • Action of a 2-generated group on  : The Parametrization Problem,  Algebras, Groups and Geometries, 24(2007), 187 – 202, (co-author Q. Mushtaq).
  • Triangle Groups  , The Journal of the Egyptian mathematical Society,  vol.1(2007), 35 – 43.
  • Coset Diagrams for a Homomorphic image of , Acta Mathematica Scientia, 28B(2008), 363 – 370, (co-author Q. Mushtaq)
  • Parametrization of Actions of a Subgroup of the Modular Group, Quasigroups and Related Systems, 20: 1 (2012), 21 – 28, (co-author Q. Mushtaq).
  • The Coxeter Group  , Quasigroups and Related Systems, 23 (2015), 175 – 180, (co-author T. Imran).
  • Defining relations of a group   and its action on real quadratic field, Bulletin of Iranian Mathematical Society.​
  • How to make better energy policy decisions? The stock and flow perspective, Int. J. Energy Technology and Policy, Vol. 14, Nos.2/3, 2018, 250 – 275, (c0-author, H. Qudrat and Naveed Subhani)
  • Actions of   on Projective Line, Transactions of A. Razmadze Mathematical Institute, 172 (2018), 1 – 6, (co-author, T. Imran and M. A. Zaighum)​.
  •  
  • ​Calculus
  • ​Calculus and Analytical Geometry
  • ​Multivariable & Vector Calculus
  • ​Linear Algebra
  • ​Linear Algebra & ODEs
  • ​Numerical Methods
  • ​Probability & statistics
  • ​Number Theory
  • ​Complex Variable & Transfors
  • ​Engineering Mathematics