Title of article :
On the free profinite products of profinite groups with commuting subgroups
Author/Authors :
Mantika، Gilbert نويسنده Department of Mathematic,University of Maroua,Maroua,Cameroon , , Tieudjo، Daniel نويسنده Department of Mathematics and Computer Science,University of Ngaoundere,Ngaoundere,Cameroon ,
Issue Information :
فصلنامه با شماره پیاپی سال 2016
Abstract :
In this paper we introduce the construction of free profinite products of profinite groups with commuting subgroups. We study a particular case: the proper free profinite products of profinite groups with commuting subgroups. We prove some conditions for a free profinite product of profinite groups with commuting subgroups to be proper. We derive some consequences. We also compute profinite completions of free products of (abstract) groups with commuting subgroups.
Keywords :
profinite groups , free constructions of (abstract) groups , free constructions of profinite groups , Profinite completions
Journal title :
International Journal of Group Theory
Journal title :
International Journal of Group Theory