Non-metacyclic groups acting with nilpotent centralizers
| Autor: | de Melo, Emerson, Caldeira, Jhone |
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| Rok vydání: | 2023 |
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| Druh dokumentu: | Working Paper |
| Popis: | Let $A$ be a non-metacyclic finite group. Suppose that $A$ acts coprimely on a finite group $G$ in such a manner that $C_G(a)$ is nilpotent for any $a\in A^{\#}$. In the present paper we investigate some conditions on $A$ which imply that $G$ is nilpotent with ``bounded'' nilpotency class. More precisely, we generalize known results on action of $q$-groups and Frobenius groups, where $q$ is a prime. Comment: arXiv admin note: substantial text overlap with arXiv:1805.05812 |
| Databáze: | arXiv |
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