Syzygies and Diagonal Resolutions for Dihedral Groups

DOI10.1080/00927872.2015.1027372zbMath1358.16005OpenAlexW2344374282MaRDI QIDQ2813645

Francis E. A. Johnson

Publication date: 24 June 2016

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

Full work available at URL: https://discovery.ucl.ac.uk/id/eprint/1474247/

zbMATH Keywords

dihedral groupfree resolutionsyzygydiagonal resolution

Mathematics Subject Classification ID

Group rings (16S34) Integral representations of finite groups (20C10) Syzygies, resolutions, complexes in associative algebras (16E05)

Related Items (4)

Diagonal resolutions for metacyclic groups ⋮ Odd dimensional manifolds with highly connected covers ⋮ Syzygy modules for dihedral groups ⋮ Homotopy classification of 4-manifolds whose fundamental group is dihedral

Cites Work

• Minimal algebraic complexes over \(D_{4n}\)
• Periodic resolutions for finite groups
• Decomposition of the Augmentation Ideal and of the Relation Modules of a Finite Group
• Explicit homotopy equivalences in dimension two

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