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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

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.

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

Darafsheh, Mohammad Reza; Sadrudini, Abdollah — 2008

Sibirskij Matematicheskij Zhurnal

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

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

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

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