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Groups with the same orders of Sylow normalizers as the Mathieu groups.

Khosravi, Behrooz; Khosravi, Behnam — 2005

International Journal of Mathematics and Mathematical Sciences

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

Behrooz Khosravi; Behnam Khosravi; Bahman Khosravi; Zahra Momen — 2015

Czechoslovak Mathematical Journal

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

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Groups with the same orders of Sylow normalizers as the Mathieu groups.

A new characterization for the simple group PSL ( 2 , p 2 ) by order and some character degrees

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