B.Sc Curriculum - Madras Christian College

Unit V: Groups Hours: 18
Binary operation, Definition of groups, Abelian group, Infinite group, properties of groups,
Composition table for finite sets, Addition modulo m, Multiplication modulo m, Permutation and
order of an element, cyclic permutation, Integral powers of an element of a group, Isomorphism
of groups, Cayley’s theorem, cyclic group, Properties of cyclic groups.
Treatment and content as in
Ancillary Mathematics Book I by S.Narayanan, T. K. ManicavachagomPillay, Kandaswamy, R.
HanumanthaRao, 1999.
Chapter 8: Section II: 1 – 6
References
1. Allied Mathematics by P. R. Vittal, Margham Publications, Reprint 2005.
2. Allied Mathematics – Paper II – Second Semester by P. Kandaswamy and K. Thilagavathy,
S. Chand & Co., Reprint 2010.
3. Ancillary Mathematics Paper IV by Arumugam and Isaac , New Gamma Publishing House,
1992.