The cohomology ring of certain families of periodic virtually cyclic groups-Reference-Cited by-同舟云学术

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The cohomology ring of certain families of periodic virtually cyclic groups

Published:2017-11 Issue:07 Volume:27 Page:793-818
ISSN:0218-1967
Container-title:International Journal of Algebra and Computation
language:en
Short-container-title:Int. J. Algebra Comput.

Author:

Gonçalves Daciberg Lima¹,Martins Sérgio Tadao²,De Jesus Soares Márcio³

Affiliation:

1. Department of Mathematics, University of São Paulo, Rua do Matão, 1010 — São Paulo — SP — CEP 05508-090, Brazil

2. Department of Mathematics, Federal University of Santa Catarina, Campus Universitário Trindade, Florianópolis — SC — CEP 88040-900, Brazil

3. Department of Exact Sciences and Education, Federal University of Santa Catarina, Campus Blumenau, Blumenau — SC — CEP 89065–300, Brazil

Abstract

Let [Formula: see text] be a virtually cyclic of the form [Formula: see text] or [Formula: see text]. We compute the integral cohomology ring of [Formula: see text], and then obtain the periodicity of the Farrell cohomology of these groups.

Publisher

World Scientific Pub Co Pte Lt

Subject

General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218196717500370

Reference15 articles.

1. Cohomology of Finite Groups

2. Cohomology of Groups

3. Free and properly discontinuous actions of groups $$G\rtimes {\mathbb {Z}}^m$$ G ⋊ Z m and $$G_1*_{G_0}G_2$$ G 1 ∗ G 0 G 2

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