000 01833nam a22002417a 4500
005 20180831155602.0
008 180831b xxu||||| |||| 00| 0 eng d
020 _a9780486488134
028 _aAtlantic Publishers & Distributors (P)LTD.
_b;7/22,Anasri Road, Daryaganj,New Delhi-110002
_c;1081653
_d;27/08/2018
082 _a512.2 ALE
100 _aP S Aleksandrov
_a; Hazel Perfect
_a; G M Petersen
245 _aAn introduction to the theory of groups
_c/P S Aleksandrov
260 _aMineola, N.Y.
_b: Dover Publications
_c, 2012.
300 _a112 pages
_c;22 cm.
365 _b553
490 _aDover books on mathematics.
505 _a The group concept -- Groups of permutations -- Some general remarks about groups. The concept of isomorphism -- Cyclic subgroups of a given group -- Simple groups of movements -- Invariant subgroups -- Homomorphic mappings -- Partitioning of a group relative to a given subgroup. Difference modules.
520 _aThis introductory exposition of group theory by an eminent Russian mathematician is particularly suited to undergraduates, developing material of fundamental importance in a clear and rigorous fashion. The treatment is also useful as a review for more advanced students with some background in group theory. Beginning with introductory examples of the group concept, the text advances to considerations of groups of permutations, isomorphism, cyclic subgroups, simple groups of movements, invariant subgroups, and partitioning of groups. An appendix provides elementary concepts from set theory. A wealth of simple examples, primarily geometrical, illustrate the primary concepts. Exercises at the end of each chapter provide additional reinforcement.
650 _aMaths
655 _a Group theory.
700 _a Hazel Perfect; G M Petersen
942 _cBOOK
999 _c50108
_d50108