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.
1
Dept. of Mathematics and Applied Mathematics, University of Cape Town, Cape Town, South Africa
Mita Ramabulana; Francesco G. Russo. Nonabelian Tensor Squares of Compact Groups via Quotients of Free Compact Groups. Journal of Lie Theory, Tome 34 (2024) no. 1, pp. 1-16. http://geodesic.mathdoc.fr/item/JOLT_2024_34_1_a0/
@article{JOLT_2024_34_1_a0,
author = {Mita Ramabulana and Francesco 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},
url = {http://geodesic.mathdoc.fr/item/JOLT_2024_34_1_a0/}
}
TY - JOUR
AU - Mita Ramabulana
AU - Francesco G. Russo
TI - Nonabelian Tensor Squares of Compact Groups via Quotients of Free Compact Groups
JO - Journal of Lie Theory
PY - 2024
SP - 1
EP - 16
VL - 34
IS - 1
UR - http://geodesic.mathdoc.fr/item/JOLT_2024_34_1_a0/
ID - JOLT_2024_34_1_a0
ER -
%0 Journal Article
%A Mita Ramabulana
%A Francesco G. Russo
%T Nonabelian Tensor Squares of Compact Groups via Quotients of Free Compact Groups
%J Journal of Lie Theory
%D 2024
%P 1-16
%V 34
%N 1
%U http://geodesic.mathdoc.fr/item/JOLT_2024_34_1_a0/
%F JOLT_2024_34_1_a0
