Nonabelian Tensor Squares of Compact Groups via Quotients of Free Compact Groups
Nonabelian Tensor Squares of Compact Groups via Quotients of Free Compact Groups
This paper is dedicated to the study of Hausdorff compact topological groups. The authors provide an explicit construction for the non-abelian tensor square of compact groups in terms of quotients of free compact groups. As a first consequence they determine a new upper bound for the weight of the non-abelian tensor square. Secondly they describe complements for the non-abelian tensor squares particularly focusing on the case of pro-\(p\)-groups.
- University of Camerino Italy
Homological methods in group theory, free group, Schur multiplier, varieties of topological groups, compact group, Cohomology of groups, non-abelian exterior square, Limits, profinite groups, Compact groups
Homological methods in group theory, free group, Schur multiplier, varieties of topological groups, compact group, Cohomology of groups, non-abelian exterior square, Limits, profinite groups, Compact groups
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