A new characterization of symmetric group by NSE

Title:

A new characterization of symmetric group by NSE

Creator:

Babai, Azam and Akhlaghi, Zeinab

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:d2fbb6ea-dba7-4a41-97c6-69e3c303114f
uuid:d2fbb6ea-dba7-4a41-97c6-69e3c303114f
issn:0011-4642

Subject:

mathematics, set of the numbers of elements of the same order, prime graph, 13, and 51

Type:

model:article and TEXT

Format:

print, bez média, and svazek

Description:

Let G be a group and !(G) be the set of element orders of G. Let k 2 !(G) and mk(G) be the number of elements of order k in G. Let nse(G) = {mk(G) : k 2 !(G)}. Assume r is a prime number and let G be a group such that nse(G) = nse(Sr), where Sr is the symmetric group of degree r. In this paper we prove that G = Sr, if r divides the order of G and r2 does not divide it. To get the conclusion we make use of some well-known results on the prime graphs of finite simple groups and their components., Azam Babai, Zeinab Akhlaghi., and Seznam literatury

Language:

English

Rights:

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

Coverage:

427-437

Source:

Czechoslovak Mathematical Journal | 2017 Volume:67 | Number:2

Harvested from:

CDK

Metadata only:

false