mathematical group theory

mathematical group theory
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Medical Chinese dictionary (湘雅医学词典). 2013.

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  • Group theory — is a mathematical discipline, the part of abstract algebra that studies the algebraic structures known as groups. The development of group theory sprang from three main sources: number theory, theory of algebraic equations, and geometry. The… …   Wikipedia

  • group theory — noun the branch of mathematics dealing with groups • Topics: ↑mathematics, ↑math, ↑maths • Hypernyms: ↑pure mathematics • Hyponyms: ↑Galois theory * * * noun …   Useful english dictionary

  • group theory — group′ the ory n. math. the branch of mathematics that deals with the structure of mathematical groups and mappings between them …   From formal English to slang

  • Geometric group theory — is an area in mathematics devoted to the study of finitely generated groups via exploring the connections between algebraic properties of such groups and topological and geometric properties of spaces on which these groups act (that is, when the… …   Wikipedia

  • Computational group theory — In mathematics, computational group theory is the study of groups by means of computers. It is concerned with designing and analysing algorithms and data structures to compute information about groups. The subject has attracted interest because… …   Wikipedia

  • group theory — the branch of mathematics that deals with the structure of mathematical groups and mappings between them. [1895 1900] * * * In modern algebra, a system consisting of a set of elements and an operation for combining the elements, which together… …   Universalium

  • group theory — noun The mathematical theory of groups …   Wiktionary

  • group theory — noun Date: 1898 a branch of mathematics concerned with finding all mathematical groups and determining their properties …   New Collegiate Dictionary

  • List of group theory topics — Contents 1 Structures and operations 2 Basic properties of groups 2.1 Group homomorphisms 3 Basic types of groups …   Wikipedia

  • History of group theory — The history of group theory, a mathematical domain studying groups in their various forms, has evolved in various parallel threads. There are three historical roots of group theory: the theory of algebraic equations, number theory and geometry.… …   Wikipedia

  • N-group (finite group theory) — In mathematical finite group theory, an N group is a group all of whose local subgroups (that is, the normalizers of nontrivial p subgroups) are solvable groups. The non solvable ones were classified by Thompson during his work on finding all the …   Wikipedia

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