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arxiv: 0711.4839 · v1 · submitted 2007-11-29 · 🧮 math.AT

3-groups are not determined by their integral cohomology rings

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keywords cohomologygroupsintegralringscomputecorollarydeterminedequal
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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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