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Mod Odd Modular Coinvariants, Homology Operations, and Limit Spaces

Published online by Cambridge University Press:  20 November 2018

Nondas E. Kechagias
Nondas E. Kechagias*
Affiliation:
Department of Mathematics, University of Crete, Iraklion, Crete, Greece
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Abstract

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We compute the homology of limn->∞(Gn ≀ X), where (Gn) is a system of subgroups of Σpn containing a p-Sylow subgroup (Σpn p) and satisfying certain properties. We show that H*(limn->∞(Gn, ≀ X);Z/pZ) is built naturally over homology operations related to (Gn). We describe this family of operations using modular coinvariants.

Keywords

55S55N18Ghomology operationsDyer-Lashof algebramodular coin variants
Type
Research Article
Information
Canadian Journal of Mathematics , Volume 45 , Issue 4 , 01 August 1993 , pp. 803 - 819
Copyright
Copyright © Canadian Mathematical Society 1993

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