@article {
author = {de Giovanni, Francesco and Newell, Martin L. and Russo, Alessio},
title = {A note on fixed points of automorphisms of infinite groups},
journal = {International Journal of Group Theory},
volume = {3},
number = {4},
pages = {57-61},
year = {2014},
publisher = {University of Isfahan},
issn = {2251-7650},
eissn = {2251-7669},
doi = {10.22108/ijgt.2014.5342},
abstract = {Motivated by a celebrated theorem of Schur, we show that if $\Gamma$ is a normal subgroup of the full automorphism group $Aut(G)$ of a group $G$ such that $Inn(G)$ is contained in $\Gamma$ and $Aut(G)/\Gamma$ has no uncountable abelian subgroups of prime exponent, then $[G,\Gamma]$ is finite, provided that the subgroup consisting of all elements of $G$ fixed by $\Gamma$ has finite index. Some applications of this result are also given.},
keywords = {automorphism group,Schur's theorem,absolute centre},
url = {https://ijgt.ui.ac.ir/article_5342.html},
eprint = {https://ijgt.ui.ac.ir/article_5342_1e6c5c18b97f38824f43a2febfd71900.pdf}
}