\(p\)-nilpotence, classifying space indecomposability, and other properties of almost all finite groups

DOI10.1007/BF02564492zbMath0819.20020MaRDI QIDQ1343322

Hans-Werner Henn, Stewart B. Priddy

Publication date: 23 February 1995

Published in: Commentarii Mathematici Helvetici (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/140343

zbMATH Keywords

classifying spacesautomorphism groupsBurnside ringsrandom groupsSylow \(p\)- subgroupsalmost all \(p\)-groupsalmost all finite groupsmod-\(p\) cohomology ringsrandom \(p\)- groups

Mathematics Subject Classification ID

Asymptotic results on counting functions for algebraic and topological structures (11N45) Cohomology of groups (20J06) Automorphisms of abstract finite groups (20D45) Finite nilpotent groups, (p)-groups (20D15) Frobenius induction, Burnside and representation rings (19A22) Homology of classifying spaces and characteristic classes in algebraic topology (55R40) Probabilistic methods in group theory (20P05)

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