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arxiv: 1210.0639 · v1 · pith:6ZRUZOPXnew · submitted 2012-10-02 · 🧮 math.AT · math.GR· math.RT

Representations of the Double Burnside Algebra and Cohomology of the Extraspecial p-Group

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keywords cohomologyextraspecialp-groupalgebraburnsideclassifyingdeterminedouble
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Let E be the extraspecial p-group of order p^3 and exponent p where p is an odd prime. We determine the mod p cohomology of summands in the stable splitting of p-completed classifying space BE modulo nilpotence.

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