Finite groups whose prime graphs do not contain triangles. I
- Authors: Alekseeva O.A.1, Kondrat’ev A.S.2,3
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Affiliations:
- Russian–British Institute of Management
- Krasovskii Institute of Mathematics and Mechanics
- Ural Federal University
- Issue: Vol 295, No Suppl 1 (2016)
- Pages: 11-20
- Section: Article
- URL: https://journals.rcsi.science/0081-5438/article/view/174023
- DOI: https://doi.org/10.1134/S0081543816090029
- ID: 174023
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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.
Keywords
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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