Affiliation:
1. Department of Mathematics, Farhangian University, Shariati Mazandaran, Iran
Abstract
We show that if r is a prime number that is not a Mersenne prime, then PSL2 (r) is determined up to isomorphism by its order and by the number of its Sylow r-subgroups. We then show that if r is a Mersenne prime other than 7, then PSL2 (r) is determined up to isomorphism by its order, the number of its Sylow r-subgroups, and the fact that r is an isolated vertex of the prime graph of the group.
Publisher
World Scientific Pub Co Pte Lt
Subject
Applied Mathematics,Algebra and Number Theory
Cited by
2 articles.
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