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math.GR2023
On the commutator length of compact Lie groups
Juan Omar Gómez, Victor Torres-Castillo, Bernardo Villarreal
In this short note we show that the path-connected component of the identity of the derived subgroup of a compact Lie group consists just of commutators. We also discuss an applica…
math.GR2022
On the cohomological triviality of the center of the Frattini subgroup
Jaime Calles, José Cantarero, Juan Omar Gómez +1
We improve the existing lower bounds on the order of counterexamples to a conjecture by P. Schmid, determine some properties of the possible counterexamples of minimum order for ea…