A new characterization of L
2(r) by their Sylow numbers |
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| Authors: | Alireza Khalili Asboei |
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| Institution: | 1. Department of Mathematics, Farhangian University, Shariati Mazandaran, Iran;
2. Department of Mathematics, Buinzahra Branch, Islamic Azad University, Buinzahra, Iran |
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| Abstract: | Let G be a finite centerless group, let π(G) be the set of prime divisors of the order of G, and let np(G) be the number of Sylow p-subgroups of G, that is, np(G) = |Sylp(G)|. Set NS(G) := {np(G)|p ∈ π(G)}. In this paper, we are investigating whether L2(r) is determined up to isomorphism by NS(L2(r)) when r is prime. |
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| Keywords: | Finite group simple group Sylow subgroup |
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