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

2012/10/02 by Akihiko Hida, Hida, Akihiko, Nobuaki Yagita +1
Mathematics · #20C20 (Primary) 55R35 #55P35 #57T05 (Secondary) #57T25 #Advanced Topics in Algebra #Algebraic Topology (math.AT) #Algebraic structures and combinatorial models #FOS: Mathematics #Group Theory (math.GR) #Homotopy and Cohomology in Algebraic Topology #Representation Theory (math.RT) #math.AT #math.GR #math.RT #msc:20C20 #msc:55P35 #msc:55R35 #msc:57T05 #msc:57T25

paper · pdf · doi:10.48550/arxiv.1210.0639

36 pages

arxiv created 2012/10/02 · openalex publication_date 2012/10/02 · arxiv updated 2012/10/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Let E be the extraspecial p-group of order p³ 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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