University of IsfahanInternational Journal of Group Theory2251-76502120130301Factorizing profinite groups into two abelian subgroups4547234110.22108/ijgt.2013.2341ENWolfgang HerfortUniversity of TechnologyJournal Article20121101We prove that the class of profinite groups $G$ that have a factorization $G=AB$ with $A$ and $B$ abelian closed subgroups, is closed under taking inverse limits of surjective inverse systems. This is a generalization of a recent result by K. H. Hofmann and F. G. Russo. As an application we reprove their generalization of Iwasawa's structure theorem for quasihamiltonian pro-$p$ groups.http://ijgt.ui.ac.ir/article_2341_935b81d6227dda83e4ad6d3d1bc07f37.pdf