The mod 2 cohomology algebras of finite groups with dihedral sylow 2-subgroups

DOI10.1080/00927879308824705zbMath0807.20045OpenAlexW4240425028MaRDI QIDQ5287617

Hiroki Sasaki, Tsunenobu Asai

Publication date: 17 August 1993

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

Full work available at URL: https://doi.org/10.1080/00927879308824705

zbMATH Keywords

relationsfinite groupsgeneratorsdihedral 2-groupsdihedral Sylow 2-subgroupsmod 2 cohomology algebrasrelatively projective covers

Mathematics Subject Classification ID

Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Cohomology of groups (20J06) Relative homological algebra, projective classes (category-theoretic aspects) (18G25)

Related Items (5)

The \(\text{mod }p\) cohomology algebras of finite groups with metacyclic Sylow \(p\)-subgroups ⋮ Cohomology algebras of 2-blocks of finite groups with defect groups of rank two. ⋮ The mod 2 cohomology algebras of finite groups with semidihedral sylow 2-subgroups ⋮ The cohomology rings of finite groups with semi-dihedral Sylow 2-subgroups ⋮ Hochschild Cohomology Ring of the Mod-2 Group Ring of the Generalized Quaternion Group

Cites Work

• Modular representation theory: New trends and methods
• Classification of \(BG\) for groups with dihedral or quaternion Sylow 2- subgroups
• Periodic modules of large periods for metacyclic \(p\)-groups
• Blocks of tame representation type and related algebras
• The characterization of finite groups with dihedral Sylow 2-subgroups. I, II
• Some applications of the theory of blocks of characters of finite groups. III
• A dimension formula for the cohomology rings of finite groups with dihedral sylow 2-subgroups
• Diagrammatic methods for modular representations and cohomology
• Unnamed Item

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