Tensor induction of projective representations

DOI10.1016/0021-8693(92)90214-7zbMath0826.20014OpenAlexW1964293855MaRDI QIDQ1188149

Peter Schmid

Publication date: 13 August 1992

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8693(92)90214-7

zbMATH Keywords

finite groupsprojective representationsextraspecial \(p\)-groupstensor inductionminimal nonabelian normal subgroupssimple \(FG\)-modulessimple constituents

Mathematics Subject Classification ID

Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Finite nilpotent groups, (p)-groups (20D15) Simple and semisimple modules, primitive rings and ideals in associative algebras (16D60) Projective representations and multipliers (20C25)

Related Items

Real vectors for linear groups and the \(k(GV)\)-problem, Self-dual modules and real vectors for solvable groups

Cites Work

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• Representation groups of characters
• Hall-Higman type theorems. V
• Clifford theory and tensor induction
• Character Values and Clifford Extensions for Finite Groups
• Cohomology of Group Extensions