A Hall-Higman type theorem for cyclic groups

DOI10.1007/BF01198803zbMath0782.20004OpenAlexW2010183863MaRDI QIDQ689716

Walter Carlip

Publication date: 17 November 1993

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01198803

zbMATH Keywords

cyclic grouprestrictionsemidirect productextraspecial groupfaithful, irreducible representation

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Group rings of finite groups and their modules (group-theoretic aspects) (20C05)

Related Items

Automorphisms of soluble groups

Cites Work

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• Hall-Higman type theorems. VI
• Hall-Higman type theorems. V
• On groups admitting fixed point free abelian operator groups
• Hall-Higman Type Theorems. IV
• On the p -Length of p -Soluble Groups and Reduction Theorems for Burnside's Problem
• Hall-Higman Type Theorems. III
• Hall Higman Type Theorems, I
• Hall-Higman Type Theorems, VII
• Correspondences of Characters for Relatively Prime Operator Groups