Finite groups whose prime graphs do not contain triangles. I


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Abstract

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

About the authors

O. A. Alekseeva

Russian–British Institute of Management

Author for correspondence.
Email: Alekseeva.O.A@rbiu.ru
Russian Federation, Chelyabinsk, 454014

A. S. Kondrat’ev

Krasovskii Institute of Mathematics and Mechanics; Ural Federal University

Email: Alekseeva.O.A@rbiu.ru
Russian Federation, Yekaterinburg, 620990; Yekaterinburg, 620002

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