K. Hofmann

activity

20102019

x

and

y

commute in a compact group

31 citations · 37 across the 3 of their papers we have counts for

collaborators

3 papers

math.GR2019★ 5 cited

When is the Sum of Two Closed Subgroups Closed in a Locally Compact Abelian Group

Wolfgang Herfort, Karl H. Hofmann, Francesco G. Russo

Locally compact abelian groups are classified in which the sum of any two closed subgroups is itself closed. This amounts to reproving and extending results by Yu.~N.~Mukhin from 1…

math.GR2017★ 1 cited

A Study in Locally Compact Groups

Karl H. Hofmann, Wolfgang Herfort, Francesco G. Russo

The class of locally compact near abelian groups is introduced and investigated as a class of metabelian groups formalizing and applying the concept of scalar multiplication. The s…

math.GR2010★ 31 cited

The probability that $x$ and $y$ commute in a compact group

Karl H. Hofmann, Francesco G. Russo

We show that a compact group $G$ has finite conjugacy classes, i.e., is an FC-group if and only if its center $Z (G)$ is open if and only if its commutator subgroup $G^{'}$ is finite.…

When is the Sum of Two Closed Subgroups Closed in a Locally Compact Abelian Group

A Study in Locally Compact Groups

The probability that x and y commute in a compact group

The probability that $x$ and $y$ commute in a compact group