Thompson’s conjecture for alternating group of degree 22

doi:10.1007/s11464-013-0320-z

Front Math Chin

0, Vol.

Issue () : 1227-1236 https://doi.org/10.1007/s11464-013-0320-z

RESEARCH ARTICLE

Thompson’s conjecture for alternating group of degree 22

Mingchun XU(

)

School of Mathematics, South China Normal University, Guangzhou 510631, China

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Abstract

For a finite group G, it is denoted by N(G) the set of conjugacy class sizes of G. In 1980s, J. G. Thompson posed the following conjecture: if L is a finite nonabelian simple group, G is a finite group with trivial center, and N(G) = N(L), then L and G are isomorphic. In this paper, it is proved that Thompson’s conjecture is true for the alternating group A₂₂ with connected prime graph.

Keywords Finite group conjugacy class size simple group prime graph of a group

Corresponding Author(s): XU Mingchun,Email:xumch@scnu.edu.cn

Issue Date: 01 October 2013

Cite this article:

Mingchun XU. Thompson’s conjecture for alternating group of degree 22[J]. Front Math Chin, 0, (): 1227-1236.

URL:

https://academic.hep.com.cn/fmc/EN/10.1007/s11464-013-0320-z
https://academic.hep.com.cn/fmc/EN/Y0/V/I/1227

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