Syzygy Modules for Dihedral Groups

Evans, John (2021) Syzygy Modules for Dihedral Groups. Communications in Algebra, 49 (6). pp. 2606-2622. ISSN 0092-7872

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Let p be an odd prime and Λ=Z[D2p] the integral group ring of the dihedral group D2p of order 2p. The syzygies Ωr(Z) 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 − ⊗Z−.

Item Type	Article
Identification Number	10.1080/00927872.2021.1879106
Additional information	© 2021 The Author(s). Published with license by Taylor and Francis Group, LLC. This is an Open Access article distributed under the terms of the CC BY-NC-ND License (http://creativecommons.org/licenses/by-nc-nd/4.0/)
Keywords	geometry and topology, algebra and number theory
Date Deposited	15 May 2025 15:09
Last Modified	09 Feb 2026 00:03