On recognition of simple group L2(r) by the number of Sylow subgroups

Alireza Khalili Asboei; Reza Mohammadyari

doi:10.4025/actascitechnol.v36i3.16471

On recognition of simple group L2(r) by the number of Sylow subgroups

Authors

Alireza Khalili Asboei Farhangian University
Reza Mohammadyari Islamic Azad University, Buinzahra

DOI:

https://doi.org/10.4025/actascitechnol.v36i3.16471

Abstract

Let G be a finite group and n_{p}(G) be the number of Sylow p- subgroup of G. In this work it is proved if G is a centerless group and n_{p}(G)=n_{p}(L_{2}(r)), for every prime p in pi (G), where r is prime number, r^2 does not divide |G| and r is not Mersenne prime, then L_{2}(r)<=G<=Aut(L_{2}(r).

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Published

2014-02-26

How to Cite

Khalili Asboei, A., & Mohammadyari, R. (2014). On recognition of simple group L2(r) by the number of Sylow subgroups. Acta Scientiarum. Technology, 36(3), 487–489. https://doi.org/10.4025/actascitechnol.v36i3.16471

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Issue

Vol. 36 No. 3 (2014)

Section

Matematics

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0.8

2019CiteScore

36th percentile