2018, Vol. 3, Issue 6, Part B
Role of sylow's theorem on permutation group and automorphic character
Author(s): Dr. Amod Kumar Mishra
Abstract: In the permutation group. Every group is isomorphic to a permutation group. In permutation group the smallest subgroup of S
n containing (12) and (1, 2, 3, .........., n) is S
n. The converse of lagranges theorem does not hold, in general, as O(A
n) is divisible by 6 but it has no sub group of order 6. It is also notable that quotient group of cyclic (abilian) groups are cyclic (abelian) but converse do not hold.
Pages: 146-147 | Views: 591 | Downloads: 4Download Full Article: Click HereHow to cite this article:
Dr. Amod Kumar Mishra. Role of sylow's theorem on permutation group and automorphic character. Int J Stat Appl Math 2018;3(6):146-147.
