Oxford Index Search Results

You are looking at 1-20 of 156 items for:

abelian group x clear all

abelian group

Overview page. Subjects: Mathematics.

Suppose that G is a group with the operation ○. Then G is abelian if the operation ○ is commutative; that is, if, for all elements a and b in G, ab=ba.

See overview in Oxford Index

abelian group

Christopher Clapham and James Nicholson.

in The Concise Oxford Dictionary of Mathematics

January 2009; p ublished online January 2009 .

Reference Entry. Subjects: Pure Mathematics. 38 words.

Suppose that G is a *group with the operation ○. Then G is abelian if the operation ○ is

abelian group

Christopher Clapham and James Nicholson.

in The Concise Oxford Dictionary of Mathematics

January 2014; p ublished online September 2014 .

Reference Entry. Subjects: Pure Mathematics. 41 words.

Suppose that G is a *group with the operation ○. Then G is abelian if the operation ○ is commutative; that is, if, for all elements ...

abelian group

Overview page. Subjects: Mathematics.

Suppose that G is a group with the operation ○. Then G is abelian if the operation ○ is commutative; that is, if, for all elements a and b in G, ab=ba.

See overview in Oxford Index

Valued Abelian Groups

Matthias Aschenbrenner, Lou van den Dries and Joris van der Hoeven.

in Asymptotic Differential Algebra and Model Theory of Transseries

June 2017; p ublished online October 2017 .

Chapter. Subjects: Optimisation. 24508 words.

This chapter deals with valued abelian groups. It first introduces some terminology concerning ordered sets before discussing valued abelian groups and ordered abelian groups in more...

Go to Princeton University Press »  abstract

abelian group

Edited by Andrew Butterfield, Gerard Ekembe Ngondi and Anne Kerr.

in A Dictionary of Computer Science

January 2016; p ublished online January 2016 .

Reference Entry. Subjects: Computing. 8 words.

abelian group

John Daintith and Edmund Wright.

in A Dictionary of Computing

January 2008; p ublished online January 2008 .

Reference Entry. Subjects: Computing. 6 words.

Abelian group

in A Dictionary of Physics

January 2009; p ublished online January 2009 .

Reference Entry. Subjects: Physics. 5 words.

Abelian group

Edited by Jonathan Law and Richard Rennie.

in A Dictionary of Physics

January 2015; p ublished online September 2015 .

Reference Entry. Subjects: Physics. 5 words.

Abelian group

Edited by Richard Rennie and Jonathan Law.

in A Dictionary of Physics

March 2019; p ublished online March 2019 .

Reference Entry. Subjects: Physics. 5 words.

Invisibility of Tate–Shafarevich Groups in Abelian Surfaces

Tom Fisher.

in International Mathematics Research Notices

January 2014; p ublished online April 2013 .

Journal Article. Subjects: Mathematics. 3636 words.

We give some examples of elliptic curves over the rationals whose Tate–Shafarevich groups contain elements of order 6 or 7 that are not visible in an abelian surface. We then show that some...

Go to »  full text   » abstract

FOURIER ANALYSIS ON FINITE ABELIAN GROUPS: SOME GRAPHICAL APPLICATIONS

Andrew Goodall.

in Combinatorics, Complexity, and Chance

January 2007; p ublished online September 2007 .

Chapter. Subjects: Probability and Statistics. 14520 words.

This article reviews basic techniques of Fourier analysis on a finite abelian group Q, with subsequent applications in graph theory. These include evaluations of the Tutte polynomial of a...

Go to »  abstract

ZERO-SUM PROBLEMS IN FINITE ABELIAN GROUPS AND AFFINE CAPS

Yves Edel, Christian Elsholtz, Alfred Geroldinger, Silke Kubertin and Laurence Rackham.

in The Quarterly Journal of Mathematics

June 2007; p ublished online May 2007 .

Journal Article. Subjects: Pure Mathematics. 0 words.

Abstract

For a finite abelian group G, let [math] (G) denote the smallest integer l such that every sequence S over G of length | S| ≥ l has a zero-sum...

Go to »  full text   » abstract

COARSE CLASSIFICATION OF ABELIAN GROUPS AND AMENABLE SHIFT-HOMOGENEOUS METRIC SPACES

Taras Banakh, Matija Cencelj, Dušan Repovš and Ihor Zarichnyi.

in The Quarterly Journal of Mathematics

December 2014; p ublished online March 2014 .

Journal Article. Subjects: Pure Mathematics. 0 words.

We classify countable locally finite-by-abelian groups up to coarse isomorphism. Our classification is derived from a coarse classification of amenable shift-homogeneous metric spaces.

null...

Go to »  full text   » abstract

Non-Abelian Stokes Theorem for Wilson Loops Associated with General Gauge Groups

Minoru Hirayama and Masataka Ueno.

in Progress of Theoretical Physics

January 2000; p ublished online January 2000 .

Journal Article. 0 words.

A formula constituting the non-Abelian Stokes theorem for general semi-simple compact gauge groups is presented. The formula involves a path integral over a group space and is applicable to...

Go to »  abstract

Coding Techniques for Fault-Tolerant Parallel Prefix Computations in Abelian Groups

Christoforos N. Hadjicostis.

in The Computer Journal

January 2004; p ublished online January 2004 .

Journal Article. Subjects: Computer Science. 0 words.

This paper presents coding techniques that can be used to provide fault tolerance to a parallel prefix computation that is performed on a binary tree of processing nodes. More specifically,...

Go to »  full text   » abstract

AF-Embeddings of the Crossed Products of AH-Algebras by Finitely Generated Abelian Groups

Huaxin Lin.

in International Mathematics Research Papers

January 2008; p ublished online January 2008 .

Journal Article. Subjects: Mathematics. 0 words.

Let X be a compact metric space and let Λ be a ℤk (k ≥ 1) action on X. We give a solution to a version of Voiculescu's problem of AF-embedding: The crossed product C(X) ⋊Λk c...

Go to »  full text

On a Family of Surfaces of General Type Attached to Abelian Four-Folds and the Weyl Group W(E 6)

Thomas Krämer.

in International Mathematics Research Notices

January 2015; p ublished online March 2015 .

Journal Article. Subjects: Mathematics; Pure Mathematics. 16116 words.

We study a family of surfaces of general type that arises from the intersections of two translates of the theta divisor on a principally polarized complex abelian four-fold. In particular,...

Go to »  full text

ENUMERATION OF FINITE SOLUBLE GROUPS WITH ABELIAN SYLOW SUBGROUPS

GEETHA VENKATARAMAN.

in The Quarterly Journal of Mathematics

March 1997; p ublished online March 1997 .

Journal Article. Subjects: Pure Mathematics. 0 words.

Go to »  full text   » abstract

Abelian subalgebras in ℤ2-graded Lie algebras and affine Weyl groups

Paola Cellini, Pierluigi Möseneder Frajria and Paolo Papi.

in International Mathematics Research Notices

January 2004; p ublished online January 2004 .

Journal Article. Subjects: Mathematics. 0 words.

Let [math] be a simple ℤ2-graded Lie algebra and let [math] be a fixed Borel subalgebra of [math]. We describe and enumerate the abelian [math]-stable subalgebras of [math].

Go to »  full text   » abstract

Abel, Niels Henrik (1802–29)

Elizabeth Martin.

in The New Oxford Dictionary for Scientific Writers and Editors

January 2009; p ublished online January 2009 .

Reference Entry. Subjects: Language Reference. 11 words.

(1802–29)

Norwegian mathematician.

Abelian group

Abel's theorem