شماره ركورد كنفرانس :
5440
عنوان مقاله :
Bogomolov multiplier and the Lazard correspondence
پديدآورندگان :
ARAGHI ROSTAMI Z. araghirostami@gmail.com Department of Pure Mathematics Ferdowsi University of Mashhad, Mashhad, Iran , PARVIZI M. Department of Pure Mathematics Ferdowsi University of Mashhad, Mashhad, Iran , NIROOMAND P. School of Mathematics and Computer Science Damghan University, Damghan, Iran
كليدواژه :
Bogomolov multiplier , Commutativity , preserving defining pair , CP cover , Baker , Campbell , Hausdorff formula , Lazard correspondence.
عنوان كنفرانس :
بيست و هفتمين سمينار جبر ايران
چكيده فارسي :
In this paper we extend the concept of CP covers for groups to the class of Lie algebras, and show that despite the case of groups, all CP covers of a Lie algebra are isomorphic. ##In addition we prove that CP covers of groups and Lie rings which are in Lazard correspondence, are in Lazard correspondence too, and the Bogomolov multipliers of the group and the Lie ring are isomorphic