Hochschild cohomology ring of the integral group ring of the generalized quaternion group

Takao Hayami

doi:10.55937/sut/1057897792

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Home > Journals > SUT J. Math. > Volume 38 > Issue 1 > Article

January 2002 Hochschild cohomology ring of the integral group ring of the generalized quaternion group

Takao Hayami

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Takao Hayami¹
¹Department of Mathematics, Science University of Tokyo Wakamiya-cho 26, Shinjuku-ku, Tokyo 162-0827, Japan

SUT J. Math. 38(1): 83-126 (January 2002). DOI: 10.55937/sut/1057897792

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Abstract

We determine the ring structure of the Hochschild cohomology $H{H^ * }({Q_t})$ of the integral group ring of the generalized quaternion group ${Q_t}$ .

Acknowledgement

The author would like to express his gratitude to Professor K. Sanada and Professor T. Nozawa for valuable comments and many helpful suggestions. The author would also like to express his gratitude to the referee for valuable comments and many helpful suggestions which help to improve the original presentation of this paper.

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Takao Hayami. "Hochschild cohomology ring of the integral group ring of the generalized quaternion group." SUT J. Math. 38 (1) 83 - 126, January 2002. https://doi.org/10.55937/sut/1057897792

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Received: 25 March 2002; Revised: 16 May 2002; Published: January 2002

First available in Project Euclid: 18 June 2022

Digital Object Identifier: 10.55937/sut/1057897792

Subjects:

Primary: 16E40 , 20J06

Keywords: cohomology ring , cup product , Hochschild cohomology , quaternion group

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Takao Hayami "Hochschild cohomology ring of the integral group ring of the generalized quaternion group," SUT Journal of Mathematics, SUT J. Math. 38(1), 83-126, (January 2002)

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