Centralizer fusion systems of central involutions in a finite group with soluble centralizer of involutions
| Autor: | Ersoy, K��van��, Tuvay, ��pek |
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| Rok vydání: | 2018 |
| Předmět: | |
| DOI: | 10.48550/arxiv.1801.09117 |
| Popis: | It is a long-standing open problem raised by Starostin to describe all finite groups with soluble centralizers of involutions. One can observe that if the centralizer fusion system of an involution is nilpotent, then the centralizer of that involution is soluble. In this paper, we classify the cases when the centralizer fusion system of a central involution in a finite group whose all involutions have soluble centralizers is a nilpotent fusion system. Indeed, we analyse the case when the solvable radical has odd order and the corresponding factor group is simple. The authors realized that there are other examples of simple groups that should appear in the list of proposition 3.1. The proofs will |
| Databáze: | OpenAIRE |
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