Cohomologically trivial modules over finite groups of prime power order.

DOI10.1016/j.jalgebra.2011.05.030zbMath1242.20022OpenAlexW2014427706MaRDI QIDQ661375

Alireza Abdollahi

Publication date: 10 February 2012

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2011.05.030

zbMATH Keywords

regular \(p\)-groupsGaschütz-Uchida theoremTate cohomology groups

Mathematics Subject Classification ID

Cohomology of groups (20J06) Finite nilpotent groups, (p)-groups (20D15)

Related Items (2)

On noninner automorphisms of finite p-groups that fix the Frattini subgroup elementwise ⋮ SOME PROPERTIES OF SEMI-ABELIAN -GROUPS

Uses Software

• GAP

Cites Work

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• Frattinian \(p\)-groups
• A cohomological property of regular \(p\)-groups
• Powerful \(p\)-groups have non-inner automorphisms of order \(p\) and some cohomology.
• Cohomological topics in group theory.

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