group theory


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Related to group theory: Ring theory

group theory

[′grüp ‚thē·ə·rē]
(mathematics)
The study of the structure of groups which especially deals with the classification of finite groups.
References in periodicals archive ?
Critique: A seminal work of outstanding scholarship in the field of mathematics, "Finite Groups: An Introduction" is impressively well organized and presented, making it suitable and especially recommended for college and university library Mathematics collections in general, and Finite Group Theory supplemental studies reading lists in particular.
I have been asked by Cynthia Lehman and her colleagues to give a talk at George Mason University on the origins and early developments of Muted Group Theory.
While group theory concentrates on the behavior of groups of individuals, social comparison theory suggests that individuals have a need to compare themselves to individuals who they deem to be similar to them (for a discussion and history, see Goethals, 1986).
The article was reprinted in Heinz Eulau and John Wahlke's Legislative Behavior and was also cited in many bibliographies dealing with British politics or group theory.
However, a flaw in the industry group theory, which determines 30 percent, is it incorrectly assumes a stock has no unique characteristics.
This text introduces undergraduates with no knowledge of the subject to abstract algebra, covering group theory, ring theory, and fields and Galois theory.
and we connect this to geometric group theory via Iterated Monodromy Groups , an innovative concept that helps solve dynamical questions in terms of their group structure, and that contributes to geometric group theory by providing natural classes of groups with properties that used to be thought of as exotic .
He starts at the basics: a basic introduction that defines terms and establishes a perspective is followed by several pseudo-code examples and fundamentals of discrete mathematics and group theory in the context of software testing.
Chapters address group theory, commutative rings, Galois theory, noncommutative rings, representation theory, advanced linear algebra, and homology.
The creative teacher could incorporate these card games into a private lesson, a group theory class, group piano class or even a college music fundamentals class.
Finally, Derbyshire introduces famous 19th- and 20th-century mathematicians and the development of complex numbers, vector spaces, group theory, and topology.