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.

group′ the`ory


n.
the branch of mathematics that deals with the structure of mathematical groups and mappings between them.
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
Translations
Gruppentheorie
References in periodicals archive ?
Hosted at one of the major centres for algebraic topology in the world and supervised by a world leader in homotopical group theory, The project will have a substantial impact on the er~s career by deepening and broadening his research expertise, Especially concerning p-compact groups and cohomology of finite groups; By significantly broadening his research network; And by solidifying his position as a trailblazer and leader in applying techniques from string topology to tackle difficult problems in group homology and cohomology.
From a July-August 2014 institute of the Mathematical Society of Japan in Tokyo, 13 papers consider hyperbolic geometry and geometric group theory from such perspectives as the recognition problem for virtually special cube complexes, a classification of radial or totally geodesic ends of real projective orbifolds: a survey of results, Abelian splitting of right-angled Artin groups, the hyperbolic analogues of some classical theorems in spherical geometry, and a note on acylindrical hyperbolicity of mapping class groups.
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.
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.
Their recently awarded NSF funding will enable them to organize the thematic semester on geometric, combinational and computational group theory which is planned for the 2010 fall semester at the Centre de Recherches Mathmatiques (CRM) in Montreal.
To accomplish this record, they used seven terabytes of distributed disk as an extension to RAM, in order to hold some large tables, and developed a new, "faster faster" way of computing moves--and even whole groups of moves--by using mathematical group theory.