Characterization of the alternating groups by their order and one conjugacy class length

Title:

Characterization of the alternating groups by their order and one conjugacy class length

Creator:

Asboei, Alireza Khalili and Mohammadyari, Reza

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:ed0767ed-c58f-4215-b21e-4c372cb95e7b
uuid:ed0767ed-c58f-4215-b21e-4c372cb95e7b
issn:0011-4642

Subject:

časování, mathematics, finite simple group, conjugacy class size, prime graph, Thompson’s conjecture, 13, and 51

Type:

model:article and TEXT

Format:

print, bez média, and svazek

Description:

Let G be a finite group, and let N(G) be the set of conjugacy class sizes of G. By Thompson’s conjecture, if L is a finite non-abelian simple group, G is a finite group with a trivial center, and N(G) = N(L), then L and G are isomorphic. Recently, Chen et al. contributed interestingly to Thompson’s conjecture under a weak condition. They only used the group order and one or two special conjugacy class sizes of simple groups and characterized successfully sporadic simple groups (see Li’s PhD dissertation). In this article, we investigate validity of Thompson’s conjecture under a weak condition for the alternating groups of degrees p+1 and p+2, where p is a prime number. This work implies that Thompson’s conjecture holds for the alternating groups of degree p + 1 and p + 2., Alireza Khalili Asboei, Reza Mohammadyari., and Obsahuje seznam literatury

Language:

English

Rights:

http://creativecommons.org/publicdomain/mark/1.0/
policy:public

Coverage:

63-70

Source:

Czechoslovak Mathematical Journal | 2016 Volume:66 | Number:1

Harvested from:

CDK

Metadata only:

false