Characterizing projective general unitary groups ${\rm PGU}_3(q^2)$ by their complex group algebras

Title:

Characterizing projective general unitary groups ${\rm PGU}_3(q^2)$ by their complex group algebras

Creator:

Shirjian, Farrokh and Iranmanesh, Ali

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:a6a04ae9-60de-4e51-a0c7-73e03179dbe0
uuid:a6a04ae9-60de-4e51-a0c7-73e03179dbe0
issn:0011-4642

Subject:

character degree, complex group algebra, projective general unitary group, 13, and 51

Type:

model:article and TEXT

Format:

print, bez média, and svazek

Description:

Let $G$ be a finite group. Let $X_1(G)$ be the first column of the ordinary character table of $G$. We will show that if $X_1(G)=X_1({\rm PGU}_3(q^2))$, then $G \cong{\rm PGU}_3(q^2)$. As a consequence, we show that the projective general unitary groups ${\rm PGU}_3(q^2)$ are uniquely determined by the structure of their complex group algebras., Farrokh Shirjian, Ali Iranmanesh., and Obsahuje bibliografické odkazy

Language:

English

Rights:

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

Coverage:

819-826

Source:

Czechoslovak Mathematical Journal | 2017 Volume:67 | Number:3

Harvested from:

CDK

Metadata only:

false