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Abstract: Let A be a quasi-finite R-algebra (i.e., a direct limit of module finite algebras) with identity. Let I_i, i=0,...,m, be two-sided ideals of A, \GL_n(A,I_i) the principal congruence subgroup...
Relative commutator calculus in Chevalley groups
Relative commutator calculus Chevalley groups Rings and Algebras
2011/9/9
Abstract: We revisit localisation and patching method in the setting of Chevalley groups. Introducing certain subgroups of relative elementary Chevalley groups, we develop relative versions of the con...
The ternary commutator obstruction for internal crossed modules
cross-effect commutator internal crossed module semi-abelian category
2011/8/25
Abstract: We study the notion of internal crossed module in terms of cross-effects of the identity functor. These cross-effects give rise to a concept of commutator which allows a description of inter...
Outer Commutator Multiplier and Capability of Finitely Generated Abelian Groups
Outer Commutator Multiplier Capability of Finitely Generated Abelian Groups
2011/2/21
We present an explicit structure for the Baer invariant of a finitely generated abelian group with respect to the variety [Nc1 ,Nc2], for all c2 ≤ c1 ≤ 2c2.
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...