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Abstract commensurators of solvable Baumslag - Solitar groups
Abstract commensurators solvable Baumslag - Solitar groups
2011/2/22
We prove that for any n > 2, the abstract commensurator group of the Baumslag –Solitar group BS(1, n) is isomorphic to the subgroup { 1 q 0 p | q ∈ Q, p ∈ Q∗} of GL2(Q).
Nonabelian Dold-Kan Decompositions for Simplicial and Symmetric-Simplicial Groups
Nonabelian Dold-Kan Decompositions Simplicial Symmetric-Simplicial Groups
2011/1/19
We extend the nonabelian Dold-Kan decomposition for simplicial groups of Carrasco and Cegarra [CC91] in two ways. First, we show that the total order of the subgroups in their decomposition belongs to...
正> The problem of determining the automorphisms of the linear groupsand the possible isomerphisms between them was first studied by O,Schreier and v.d.Waerden[1].They determined the automerphisms ofth...
<正> It is well-known that the camplex linear unimodular group G_2 ofa 2-dimensional affine space E_2 is a representation of the real orthogonalgToup G_4 of a 4-dimensional euclidean space R.In this pa...
On Modular Lie Representations of Finite Groups
free Lie algebras modular Lie representations of groups elimination
2010/2/26
We give a new and substantially simplified proof of a key technical result in the theory of modular Lie representations of finite groups.
Groups with Rank Restrictions on Non-Subnormal Subgroups
Subnormal subgroups locally soluble-by-finite groups finite Mal'cev rank
2010/2/26
Let G be a group in which every non-subnormal subgroup has finite rank. This paper considers the question as to which extra conditions on such a group G ensure that G has all subgroups subnormal. For ...
Pushouts of Profinite Crossed Modules and cat1-profinite groups
Crossed modules Cat1-groups Profinite groups Pushout Pullback Adjoint
2010/2/26
In this paper, we presented a brief review of crossed modules [7], cat1-groups [6], pullback crossed modules [4], pullback cat1-group [1], profinite crossed modules [5], cat1-profinite groups [5], pul...
A sufficient condition such that any element of G' (the commutator subgroup of G) can be represented as a product of n commutators, was studied in \cite{GAL62}. In this article we study a necessary an...
Left Adjoint of Pullback Cat1- profinite groups
Crossed modules Cat1-groups pullback Profinite groups Left Right Adjoint Cocomplete category
2010/3/1
In this paper, we present a brief review crossed modules \cite{whitehead}, cat1-groups \cite{loday}, profinite crossed modules \cite{kortim}, cat1-profinite groups \cite{kortim}, pullback profinite cr...
Left Adjoint of Pullback Cat1 -Groups
Crossed modules cat1-groups pullback Cocomplete category Adjoint
2010/3/3
In [1] we define the pullback Cat1-groups and showed that the category of pullback Cat1-groups is equivalent to the category of pullback crossed modules. In this paper we proved that the pullback Cat1...