@article {
author = {Wang, Q. and Long, K. and Feng, L.},
title = {The Quasi-morphic Property of Group},
journal = {Bulletin of the Iranian Mathematical Society},
volume = {39},
number = {1},
pages = {175-185},
year = {2013},
publisher = {Iranian Mathematical Society (IMS)},
issn = {1017-060X},
eissn = {1735-8515},
doi = {},
abstract = {A group is called morphic if for each normal endomorphism α in end(G),there exists β such that ker(α)= Gβ and Gα= ker(β). In this paper, we consider the case that there exist normal endomorphisms β and γ such that ker(α)= Gβ and Gα = ker(γ). We call G quasi-morphic, if this happens for any normal endomorphism α in end(G). We get the following results: G is quasi-morphic if and only if, for any normal subgroup K and N such that G/K≌N, there exist normal subgroup T and H such that G/T≌K and G/N≌H. Further, we investigate the quasi-morphic property of finitely generated abelian group and get that a finitely generated abelian group is quasi-morphic if and only if it is finite.},
keywords = {quasi-morphic group,finitely generated abelian group,normal endomorphism},
url = {http://bims.iranjournals.ir/article_339.html},
eprint = {http://bims.iranjournals.ir/article_339_e1fa74b090c7cf943c21d3c24a31908a.pdf}
}