Some results on the recognizability of the linear groups over the binary field

Mohammad Reza Darafsheh; Yaghoub Farjami; M. Khademi; Ali Reza Moghaddamfar

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A characterization property of the simple group ${PSL}_{4} (5)$ by the set of its element orders

Mohammad Reza Darafsheh, Yaghoub Farjami, Abdollah Sadrudini (2007)

Archivum Mathematicum

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Let $ω (G)$ denote the set of element orders of a finite group $G$ . If $H$ is a finite non-abelian simple group and $ω (H) = ω (G)$ implies $G$ contains a unique non-abelian composition factor isomorphic to $H$ , then $G$ is called quasirecognizable by the set of its element orders. In this paper we will prove that the group $P S L_{4} (5)$ is quasirecognizable.

Some simple groups which are determined by the set of their character degrees. II

Bertram Huppert (2006)

Rendiconti del Seminario Matematico della Università di Padova

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A new characterization of some alternating and symmetric groups.

Khosravi, Amir, Khosravi, Behrooz (2003)

International Journal of Mathematics and Mathematical Sciences

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On connection between the structure of a finite group and the properties of its prime graph.

Vasil'ev, A.V. (2005)

Sibirskij Matematicheskij Zhurnal

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Displaying similar documents to “Some results on the recognizability of the linear groups over the binary field”

A characterization property of the simple group PSL 4 ( 5 ) by the set of its element orders

Some simple groups which are determined by the set of their character degrees. II

A new characterization of some alternating and symmetric groups.

On connection between the structure of a finite group and the properties of its prime graph.

A characterization property of the simple group ${PSL}_{4} (5)$ by the set of its element orders