We show two structural results for the subclass of $FC^\wedge$-groups, belonging to the well-known class of groups with finite conjugacy classes (i.e. $FC$-groups). We focus on linear $FC^\wedge$-groups and on the notion of exterior centralizer in the nonabelian exterior square of groups. Final comments show the relevance of $FC^\wedge$-groups and $FC$-groups in the theory of commuting probabilities of topological groups.
A note on the exterior centralizers and the probability of commuting pairs
Russo F
Primo
2024-01-01
Abstract
We show two structural results for the subclass of $FC^\wedge$-groups, belonging to the well-known class of groups with finite conjugacy classes (i.e. $FC$-groups). We focus on linear $FC^\wedge$-groups and on the notion of exterior centralizer in the nonabelian exterior square of groups. Final comments show the relevance of $FC^\wedge$-groups and $FC$-groups in the theory of commuting probabilities of topological groups.File in questo prodotto:
Non ci sono file associati a questo prodotto.
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
