Comptes Rendus
Group Theory
Influence of the number of Sylow subgroups on solvability of finite groups
Comptes Rendus. Mathématique, Volume 358 (2020) no. 11-12, pp. 1227-1230.

Let G be a finite group. We prove that if the number of Sylow 3-subgroups of G is at most 7 and the number of Sylow 5-subgroups of G is at most 1455, then G is solvable. This is a strong form of a recent conjecture of Robati.

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DOI: 10.5802/crmath.146
Classification: 20D10, 20D20, 20F16, 20F19

Chimere Stanley Anabanti 1; Alexander Moretó 2; Mohammad Zarrin 3

1 Institut für Analysis und Zahlentheorie, Technische Universität Graz (TU Graz), Graz 8010 Austria.
2 Departament de Matemàtiques, Universitat de València, 46100, Burjassot, València Spain.
3 Department of Mathematics, University of Kurdistan, P.O. Box: 416, Sanandaj, Iran.
License: CC-BY 4.0
Copyrights: The authors retain unrestricted copyrights and publishing rights
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Chimere Stanley Anabanti; Alexander Moretó; Mohammad Zarrin. Influence of the number of Sylow subgroups on solvability of finite groups. Comptes Rendus. Mathématique, Volume 358 (2020) no. 11-12, pp. 1227-1230. doi : 10.5802/crmath.146. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.146/

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