3-groups are not determined by their integral cohomology rings

Details 3-groups are not determined by their integral cohomology rings 3-groups are not determined by their integral cohomology rings

2007-11-29

arxiv.org/abs/0711.4839v1

J. Pure and Appl. Algebra 88 (1993), 61--79

Mathematics

Algebraic Topology

Scientific paper

We compute the integral cohomology rings of a family of 3-groups. As a
corollary, we exhibit, for each n greater than or equal to 5, a pair of groups
of order 3^n whose integral cohomology rings are isomorphic.

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