Syzygy modules for dihedral groups

J. D.P. Evans

doi:10.1080/00927872.2021.1879106

Syzygy modules for dihedral groups

J. D.P. Evans

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Abstract

Let p be an odd prime and (Formula presented.) the integral group ring of the dihedral group (Formula presented.) of order 2p. The syzygies (Formula presented.) are the stable classes of the intermediate modules in a free Λ-resolution of the trivial module. We will discuss explicitly the interaction of the stable syzygies under (Formula presented.).

Original language	English
Pages (from-to)	2606-2622
Number of pages	17
Journal	Communications in Algebra
Volume	49
Issue number	6
Early online date	15 Feb 2021
DOIs	https://doi.org/10.1080/00927872.2021.1879106
Publication status	Published - 2021

Bibliographical note

Publisher Copyright:
© 2021 Taylor & Francis Group, LLC.

Copyright:
Copyright 2021 Elsevier B.V., All rights reserved.

Keywords

Diagonal resolution
dihedral groups
syzygy modules

ASJC Scopus subject areas

Algebra and Number Theory

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10.1080/00927872.2021.1879106Licence: CC BY-NC-ND

Evans_Syzygy modules for dihedral groups A4Final published version, 14.1 MBLicence: CC BY-NC-ND

Cite this

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AB - Let p be an odd prime and (Formula presented.) the integral group ring of the dihedral group (Formula presented.) of order 2p. The syzygies (Formula presented.) are the stable classes of the intermediate modules in a free Λ-resolution of the trivial module. We will discuss explicitly the interaction of the stable syzygies under (Formula presented.).

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Syzygy modules for dihedral groups

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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