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JOURNALS // Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports] // Archive

Sib. Èlektron. Mat. Izv., 2014 Volume 11, Pages 634–674 (Mi semr513)

This article is cited in 6 papers

Mathematical logic, algebra and number theory

Finite almost simple $5$-primary groups and their Gruenberg–Kegel graphs

Anatoly S. Kondrat'evab

a Ural Federal University named after the first President of Russia B. N. Yeltsin, 19, Mira St., 620002, Ekaterinburg, Russia
b N. N. Krasovskii Institute of Mathematics and Mechanics of UB RAS, 16, S. Kovalevskaya St., 620990, Ekaterinburg, Russia

Abstract: The finite almost simple $5$-primary groups and their Gruenberg–Kegel graphs are determined. In addition, a list of finite simple $5$-primary groups is essentially refined.

Keywords: finite almost simple group, prime graph, $5$-primary group.

UDC: 512.54

MSC: 20D60, 05C25

Received August 21, 2014, published August 30, 2014

Language: English



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