Journal of Lie Theory

no. 1
Nonabelian Tensor Squares of Compact Groups via Quotients of Free Compact Groups
Journal of Lie Theory, Volume 34 (2024) no. 1, pp. 1-16
We provide an explicit construction for the nonabelian tensor square of compact groups in terms of quotients of free compact groups. This has several consequences in terms of structural results and, just to mention two of them, one is a new upper bound for the weight of the nonabelian tensor square, another is the description of complements for the nonabelian tensor squares when we focus on the case of pro-p-groups.
DOI: 10.5802/jolt.1324
Classification: 22C05, 20E18, 20J05, 20J06
Keywords: Compact groups, nonabelian exterior square, Schur multiplier, varieties of topological groups, free groups 
@article{JOLT_2024_34_1_a0,
     author = {M. Ramabulana and F. G. Russo},
     title = {Nonabelian {Tensor} {Squares} of {Compact} {Groups} via {Quotients} of {Free} {Compact} {Groups}},
     journal = {Journal of Lie Theory},
     pages = {1--16},
     year = {2024},
     volume = {34},
     number = {1},
     doi = {10.5802/jolt.1324},
     zbl = {1536.22008},
     url = {https://jolt.centre-mersenne.org/articles/10.5802/jolt.1324/}
}
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M. Ramabulana; F. G. Russo. Nonabelian Tensor Squares of Compact Groups via Quotients of Free Compact Groups. Journal of Lie Theory, Volume 34 (2024) no. 1, pp. 1-16. doi: 10.5802/jolt.1324

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