group theory


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Related to group theory: Ring theory

group theory

n.
The branch of mathematics concerned with groups and the description of their properties.
American Heritage® Dictionary of the English Language, Fifth Edition. Copyright © 2016 by Houghton Mifflin Harcourt Publishing Company. Published by Houghton Mifflin Harcourt Publishing Company. All rights reserved.

group′ the`ory


n.
the branch of mathematics that deals with the structure of mathematical groups and mappings between them.
Random House Kernerman Webster's College Dictionary, © 2010 K Dictionaries Ltd. Copyright 2005, 1997, 1991 by Random House, Inc. All rights reserved.
ThesaurusAntonymsRelated WordsSynonymsLegend:
Noun1.group theory - the branch of mathematics dealing with groups
math, mathematics, maths - a science (or group of related sciences) dealing with the logic of quantity and shape and arrangement
pure mathematics - the branches of mathematics that study and develop the principles of mathematics for their own sake rather than for their immediate usefulness
Galois theory - group theory applied to the solution of algebraic equations
Based on WordNet 3.0, Farlex clipart collection. © 2003-2012 Princeton University, Farlex Inc.
Translations
Gruppentheorie
References in periodicals archive ?
In a textbook for social work students and others beginning studies in group work, Ortega and Garvin discuss the basic assumptions, values, and knowledge from research, small group theory, and practical experience on socially just practice in groups.
Along the way, Farris demonstrates how to marry waveforms with photographic images to construct beautiful symmetry patterns as he gradually familiarizes you with more advanced mathematics, including group theory, functional analysis, and partial differential equations.
Occasion was four-day 19th 'Postgraduate Group Theory Conference' held at the University of Cambridge, the UK.
Finite group theory is a topic remarkable for the simplicity of its statements and the difficulty of their proofs.
A compendium of the in-depth details of group theory, this book covers the essential math for advanced work in many realms of physics, from subatomic particles to cosmology.
In geometric group theory the spherical growth function is the study of combinatorial aspect of the elements in a finitely generated group .
The 'Futurama theorem', grounded in group theory, tackles the pos?
It could also be used as a supplement for private study or as the text for a group theory class.--Reviewed by Christy Vogt-Corley, NCTM, McNeese State University
Natural numbers, prime numbers, positional notation, sets, geometry, differential and integral calculus, group theory, complex numbers, and special values such as the golden ratio are gradually covered, both in terms of their potential as a means of universal communication and in light of conditions on Earth that have likely influenced our mathematics in ways that may not be replicated in alien worlds.
Appendices review the basic concepts of group theory, ring theory, and linear algebra.
Robert Gilman and Alexander Ushakov are seeking to strengthen the connections that "group theory" has with other branches of mathematics and to highlight new promising perspectives.