Syzygy Modules for Dihedral Groups

John Evans

doi:10.1080/00927872.2021.1879106

Syzygy Modules for Dihedral Groups

John Evans

Research output: Contribution to journal › Article › peer-review

23 Downloads (Pure)

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

Access to Document

10.1080/00927872.2021.1879106Licence: CC BY-NC-ND

Final_Version
© 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

Cite this

@article{ecef577c9db24f6f89f05f82687f43fe,

title = "Syzygy Modules for Dihedral Groups",

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−.",

author = "John Evans",

note = "{\textcopyright} 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/)",

year = "2021",

month = feb,

day = "15",

doi = "10.1080/00927872.2021.1879106",

language = "English",

volume = "49",

pages = "2606--2622",

journal = "Communications in Algebra",

issn = "0092-7872",

publisher = "Taylor & Francis Group",

number = "6",

}

TY - JOUR

T1 - Syzygy Modules for Dihedral Groups

AU - Evans, John

N1 - © 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/)

PY - 2021/2/15

Y1 - 2021/2/15

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−.

U2 - 10.1080/00927872.2021.1879106

DO - 10.1080/00927872.2021.1879106

M3 - Article

SN - 0092-7872

VL - 49

SP - 2606

EP - 2622

JO - Communications in Algebra

JF - Communications in Algebra

IS - 6

ER -

Syzygy Modules for Dihedral Groups

Abstract

Access to Document

Fingerprint

Cite this