Open Access
June 2002 On cohomology rings of a cyclic group and a ring of integers
Takao Hayami, Katsunori Sanada†
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SUT J. Math. 38(2): 185-199 (June 2002). DOI: 10.55937/sut/1057898559


We determine the ring homomorphism HH*(Γ)H*(G,Γ) explicitly, where G denotes the cyclic group of order pv and Γ denotes the ring of integers of the cyclotomic field (ζ) for a primitive pv-th root of unity ζ.


The authors would like to express their gratitude to Professor T. Nozawa and the referee for valuable comments and many helpful suggestions.


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Takao Hayami. Katsunori Sanada†. "On cohomology rings of a cyclic group and a ring of integers." SUT J. Math. 38 (2) 185 - 199, June 2002.


Received: 6 November 2002; Published: June 2002
First available in Project Euclid: 18 June 2022

Digital Object Identifier: 10.55937/sut/1057898559

Primary: 16E40 , 20J06

Keywords: cohomology ring , cup product , Group cohomology , Hochschild cohomology

Rights: Copyright © 2002 Tokyo University of Science

Vol.38 • No. 2 • June 2002
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