@article {
author = {Russo, Alessio},
title = {On central endomorphisms of a group},
journal = {International Journal of Group Theory},
volume = {4},
number = {3},
pages = {1-5},
year = {2015},
publisher = {University of Isfahan},
issn = {2251-7650},
eissn = {2251-7669},
doi = {10.22108/ijgt.2015.9970},
abstract = {Let $\Gamma$ be a normal subgroup of the full automorphism group $Aut(G)$ of a group $G$, and assume that $Inn(G)\leq \Gamma$. An endomorphism $\sigma$ of $G$ is said to be $\Gamma$-central if $\sigma$ induces the the identity on the factor group $G/C_G(\Gamma)$. Clearly, if $\Gamma=Inn(G)$, then a $\Gamma$-central endomorphism is a central endomorphism. In this article the conditions under which a $\Gamma$-central endomorphism of a group is an automorphism are investigated.},
keywords = {central endomorphism,autocentral endomorphism,purely non-abelian group},
url = {https://ijgt.ui.ac.ir/article_9970.html},
eprint = {https://ijgt.ui.ac.ir/article_9970_ca5566bf28c2bba5f0b9d963287fbb1c.pdf}
}