SOME CONSIDERATIONS ABOUT
COHOMOLOGY OF FINITE GROUPS
Maria Gorete Carreira Andrade1, Ermınia de Lourdes Campello Fanti2, Flávia Souza Machado da Silva3
1,2,3Department of Mathematics - IBILCE
UNESP - São Paulo State University
R. Cristovão Colombo, 2265
15054 - 000 - São José do Rio Preto - SP, BRAZIL
Abstract. In this work we present some considerations about cohomology of finite groups. In the first part we use the restriction map in cohomology to obtain some results about subgroups of finite index in a group. In the second part, we use Tate cohomology to present an application of the theory of groups with periodic cohomology in topology.
AMS Subject classification: 20F50, 20F65, 20E06, 20J06, 55P20
Keywords and phrases: cohomology of groups, periodic group, restriction map


Download full article from here (pdf format).

DOI: 10.12732/ijam.v26i5.9

Volume: 26
Issue: 5
Year: 2013