A new characterization for the simple group ${\rm PSL}(2,p^2)$ by order and some character degrees

Title:

A new characterization for the simple group ${\rm PSL}(2,p^2)$ by order and some character degrees

Creator:

Khosravi, Behrooz, Khosravi, Behnam, Khosravi, Bahman, and Momen, Zahra

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:e95a3644-61fb-4042-bfb6-36adda0b9207
uuid:e95a3644-61fb-4042-bfb6-36adda0b9207

Subject:

character degree, order, and projective special linear group

Type:

model:article and TEXT

Format:

bez média and svazek

Description:

Let $G$ be a finite group and $p$ a prime number. We prove that if $G$ is a finite group of order $|{\rm PSL}(2,p^2)|$ such that $G$ has an irreducible character of degree $p^2$ and we know that $G$ has no irreducible character $\theta $ such that $2p\mid \theta (1)$, then $G$ is isomorphic to ${\rm PSL}(2,p^2)$. As a consequence of our result we prove that ${\rm PSL}(2,p^2)$ is uniquely determined by the structure of its complex group algebra.

Language:

English

Rights:

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

Coverage:

271-280

Source:

Czechoslovak Mathematical Journal | 2015 Volume:65 | Number:1

Harvested from:

CDK

Metadata only:

false