On the number of solutions of equation \(x^{p^ k}=1\) in a finite group

zbMath0840.20017MaRDI QIDQ1901510

Yakov G. Berkovich

Publication date: 30 June 1996

Published in: Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/244269

zbMATH Keywords

finite groupscongruencesnumber of solutionsnumber of cyclic subgroupsgroups with Abelian Sylow \(p\)-subgroups

Mathematics Subject Classification ID

Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Finite nilpotent groups, (p)-groups (20D15)

Related Items (2)

On Abelian subgroups of \(p\)-groups ⋮ On subgroups and epimorphic images of finite \(p\)-groups

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