O. A. Alekseeva, A. S. Kondrat'ev, “Finite groups whose prime graphs do not contain triangles. I”, Trudy Inst. Mat. i Mekh. UrO RAN, 2015, Volume 21, Number 3,Pages <nobr>3

This article is cited in 5 papers

Finite groups whose prime graphs do not contain triangles. I

O. A. Alekseeva^a, A. S. Kondrat'ev^b

^a Russian-British Institute of Management
^b Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences, Ekaterinburg

Abstract: Finite groups whose prime graphs do not contain triangles are investigated. In the present part of the work, the isomorphic types of prime graphs and estimates of the Fitting length of solvable groups are found and also almost simple groups are determined.

Keywords: finite group, almost simple group, solvable group, prime graph.

UDC: 512.542