Periodic modules of large periods for metacyclic \(p\)-groups

DOI10.1016/0021-8693(91)90124-QzbMath0741.20001OpenAlexW2090643488MaRDI QIDQ1178872

Tetsuro Okuyama, Hiroki Sasaki

Publication date: 26 June 1992

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

Full work available at URL: https://doi.org/10.1016/0021-8693(91)90124-q

zbMATH Keywords

presentationsyzygyperiodic modulesmetacyclic \(p\)-groupperiodic \(kG\)- module

Mathematics Subject Classification ID

Modular representations and characters (20C20) Cohomology of groups (20J06) Group rings of finite groups and their modules (group-theoretic aspects) (20C05)

Related Items (3)

The mod 2 cohomology algebras of finite groups with dihedral sylow 2-subgroups ⋮ The mod 2 cohomology algebras of finite groups with semidihedral sylow 2-subgroups ⋮ A characterization of selfinjective algebras of strictly canonical type.

Cites Work

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• The varieties and the cohomology ring of a module
• Complexity and elementary Abelian p-groups
• The variety of an indecomposable module is connected
• The mod p cohomology rings of the nonabelian split metacyclic p-groups
• Modular representation theory: New trends and methods
• Nilpotent elements in the Green ring
• Representations, resolutions and Quillen's dimension theorem
• The structure of periodic modules over modular group algebras
• Varieties and elementary Abelian groups
• Periodic Modules with Large Periods
• Diagrammatic methods for modular representations and cohomology

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