Corrigendum and addendum to “Centralizers of finite subgroups in Hall’s universal group”

Abstract

In Hall's universal group every non-trivial conjugacy class satisfies $CC=U$. Hence generalized version of J. G. Thompson's conjecture is true for every non-trivial conjugacy class $C$ in $U$. Moreover Ore's conjecture (every element is a commutator) is true for $U$ is added to [4]. In [4, Theorem 2.4] $C_U(F)/Z(F)\cong U$ is true if $Z(F)=1$.

Link to the paper corrected hereby.