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A block-theory-free characterization of $M_{24}$

D. Held, J. Hrabě de Angelis (1989)

Rendiconti del Seminario Matematico della Università di Padova

A characterization of $L_{2} (2^{f})$ in terms of the number of character zeros.

Qian, Guohua, Shi, Wujie (2009)

Beiträge zur Algebra und Geometrie

A Lattice of Homomorphs.

Graham J. Wood (1973)

Mathematische Zeitschrift

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.

A new characterization of some alternating and symmetric groups.

Khosravi, Amir, Khosravi, Behrooz (2003)

International Journal of Mathematics and Mathematical Sciences

Addendum to : “Prime graph components of finite almost simple groups” [Rend. Sem. Mat. Univ. Padova 102 (1999), 1–22]

Maria Silvia Lucido (2002)

Rendiconti del Seminario Matematico della Università di Padova

An Amalgam Related to M_11 and SP_4(3)

Panagiotis Papadopoulos (2002)

Δελτίο της Ελληνικής Μαθηματικής Εταιρίας

An existence lemma for groups generated by 3-transpositions.

Richard Weiss, John van Bon (1992)

Inventiones mathematicae

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