Factorizing profinite groups into two Abelian subgroups
We 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 strict projective limits.This is a generalization of a recent result by K.H.~Hofmann and F.G.~Russo.As an application we reprove their generalization of I...
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| Format: | Article |
| Language: | English |
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University of Isfahan
2013-03-01
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| Series: | International Journal of Group Theory |
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| Online Access: | http://www.theoryofgroups.ir/?_action=showPDF&article=2341&_ob=935b81d6227dda83e4ad6d3d1bc07f37&fileName=full_text.pdf. |