نتایج جستجو برای: basic commutator

تعداد نتایج: 273702  

2009
Ted Hurley

Factors X Y in a free group F with Y normal in X are considered. Precise results on the free structure of Y relative to the free structure of X when X Y is abelian are obtained. Some extensions and applications are given as for example to the construction of lower central factors in general groups. A collecting process on free generators, which gives basic commutator-type free generators for so...

Journal: :international journal of group theory 0
francesco de giovanni dipartimento di matematica e applicazioni - university of napoli "federico ii" marco trombetti dipartimento di matematica e applicazooni - university of napoli "federico ii"

a result of dixon‎, ‎evans and smith shows that if $g$ is a locally (soluble-by-finite) group whose proper subgroups are (finite rank)-by-abelian‎, ‎then $g$ itself has this property‎, ‎i.e‎. ‎the commutator subgroup of $g$ has finite rank‎. ‎it is proved here that if $g$ is a locally (soluble-by-finite) group whose proper subgroups have minimax commutator subgroup‎, ‎then also the commutator s...

2008
T. Everaert

We introduce a new notion of commutator which depends on a choice of subvariety in any variety of Ω-groups. We prove that this notion encompasses Higgins’s commutator, Fröhlich’s central extensions and the Peiffer commutator of precrossed modules.

2002
A. O. GARCÍA

We construct quantum commutators on module-algebras of quasitriangular Hopf algebras. These are quantum-group covariant, and have generalized antisymmetry and Leibniz properties. If the Hopf algebra is triangular they additionally satisfy a generalized Jacobi identity, turning the modulealgebra into a quantum-Lie algebra. The purpose of this short communication is to present a quantum commutato...

2002
WILLIAM H. ROWAN

We investigate commutator operations on compatible uniformities. We present a commutator operation for uniformities in the congruence-modular case which extends the commutator on congruences, and explore its properties. Introduction The purpose of this paper is to generalize the commutator of congruences to a commutator of compatible uniformities. Commutator theory (on congruences) works best f...

2011
Keith A. Kearnes Emil W. Kiss Bjarni Jónsson Ralph McKenzie Walter Taylor

We develop the theories of the strong commutator, the rectangular commutator, the strong rectangular commutator, as well as a solvability theory for the nonmodular TC commutator. These theories are used to show that each of the following sets of statements are equivalent for a variety V of algebras. (I) (a) V satisfies a nontrivial congruence identity. (b) V satisfies an idempotent Maltsev cond...

In this paper, we verify the solvability of free product of finite cyclic groups with topological methods. We use Cayley graphs and Everitt methods to construct suitable 2-complexes corresponding to the presentations of groups and their commutator subgroups. In particular, using these methods, we prove that the commutator subgroup of $mathbb{Z}_{m}*mathbb{Z}_{n}$ is free of rank $(m-1)(n-1)$ fo...

Journal: :Proceedings of the American Mathematical Society 2002

Journal: :Proceedings of the American Mathematical Society 1992

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