Syzygy Modules for Dihedral Groups

John Evans

doi:10.1080/00927872.2021.1879106

Syzygy Modules for Dihedral Groups

John Evans

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Abstract

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−.

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

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© 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/)
Final published version, 1.57 MBLicence: CC BY-NC-ND

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abstract = "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−.",

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N2 - 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−.

AB - 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−.

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DO - 10.1080/00927872.2021.1879106

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VL - 49

SP - 2606

EP - 2622

JO - Communications in Algebra

JF - Communications in Algebra

IS - 6

ER -

Syzygy Modules for Dihedral Groups

Abstract

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