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Start Over Creator Khosravi, Behrooz

1. 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
Format:
bez média and svazek
Type:
model:article and TEXT
Subject:
character degree, order, and projective special linear group
Language:
English
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.
Rights:
http://creativecommons.org/publicdomain/mark/1.0/ and policy:public

2. On the composition factors of a group with the same prime graph as $B_{n}(5)$

Creator:
Babai, Azam and Khosravi, Behrooz
Format:
bez média and svazek
Type:
model:article and TEXT
Subject:
prime graph, simple group, recognition, and quasirecognition
Language:
English
Description:
Let $G$ be a finite group. The prime graph of $G$ is a graph whose vertex set is the set of prime divisors of $|G|$ and two distinct primes $p$ and $q$ are joined by an edge, whenever $G$ contains an element of order $pq$. The prime graph of $G$ is denoted by $\Gamma (G)$. It is proved that some finite groups are uniquely determined by their prime graph. In this paper, we show that if $G$ is a finite group such that $\Gamma (G)=\Gamma (B_{n}(5))$, where $n\geq 6$, then $G$ has a unique nonabelian composition factor isomorphic to $B_{n}(5)$ or $C_{n}(5)$.
Rights:
http://creativecommons.org/publicdomain/mark/1.0/ and policy:public

3. On the intersection graph of a finite group

Creator:
Shahsavari, Hossein and Khosravi, Behrooz
Format:
print, bez média, and svazek
Type:
model:article and TEXT
Subject:
matematika, grafy, mathematics, intersection graph, regular graph, simple group, automorphism group, 13, and 51
Language:
English
Description:
For a finite group $G$, the intersection graph of $G$ which is denoted by $\Gamma(G)$ is an undirected graph such that its vertices are all nontrivial proper subgroups of $G$ and two distinct vertices $H$ and $K$ are adjacent when $H\cap K\neq1$. In this paper we classify all finite groups whose intersection graphs are regular. Also, we find some results on the intersection graphs of simple groups and finally we study the structure of ${\rm Aut}(\Gamma(G))$., Hossein Shahsavari, Behrooz Khosravi., and Obsahuje bibliografii
Rights:
http://creativecommons.org/publicdomain/mark/1.0/ and policy:public