group theory - ορισμός. Τι είναι το group theory
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Τι (ποιος) είναι group theory - ορισμός

BRANCH OF MATHEMATICS THAT STUDIES THE ALGEBRAIC PROPERTIES OF GROUPS
Group Theory; Group-theoretic; Theory of Groups; Infinite group theory; Abstract group; Abstract Group; Symmetry point group; Applications of group theory
  • The [[cyclic group]] '''Z'''<sub>26</sub> underlies [[Caesar's cipher]].
  • The Cayley graph of &lang; x, y ∣ &rang;, the free group of rank 2.
  • The circle of fifths may be endowed with a cyclic group structure
  • Water molecule with symmetry axis
  • '''C''' → '''C'''/('''Z''' + ''τ'''''Z''')}}, where ''τ'' is a parameter living in the [[upper half plane]].

List of group theory topics         
WIKIMEDIA GLOSSARY LIST ARTICLE
Outline of group theory
In mathematics and abstract algebra, group theory studies the algebraic structures known as groups. The concept of a group is central to abstract algebra: other well-known algebraic structures, such as rings, fields, and vector spaces, can all be seen as groups endowed with additional operations and axioms.
Journal of Group Theory         
JOURNAL
J. group theory; J. Group Theory; J Group Theory
The Journal of Group Theory is a bimonthly peer-reviewed mathematical journal covering all aspects of group theory. It was established in 1998 and is published by Walter de Gruyter.
Group Dynamics: Theory, Research, and Practice         
JOURNAL
Wikipedia talk:Articles for creation/Group Dynamics: Theory, Research and Practice; Group Dynamics: Theory, Research and Practice; Group Dyn Theory Res Pract; Group Dyn. Theory Res. Pract.; Group Dynamics: Theory, Research, & Practice; Group Dynamics: Theory, Research & Practice
Group Dynamics: Theory, Research, and Practice is a peer-reviewed academic journal published by Division 49 of the American Psychological Association. The journal was created in 1997 and includes research on group dynamics, defined by the editors as "the scientific study of all aspects of groups.

Βικιπαίδεια

Group theory

In abstract algebra, group theory studies the algebraic structures known as groups. The concept of a group is central to abstract algebra: other well-known algebraic structures, such as rings, fields, and vector spaces, can all be seen as groups endowed with additional operations and axioms. Groups recur throughout mathematics, and the methods of group theory have influenced many parts of algebra. Linear algebraic groups and Lie groups are two branches of group theory that have experienced advances and have become subject areas in their own right.

Various physical systems, such as crystals and the hydrogen atom, and three of the four known fundamental forces in the universe, may be modelled by symmetry groups. Thus group theory and the closely related representation theory have many important applications in physics, chemistry, and materials science. Group theory is also central to public key cryptography.

The early history of group theory dates from the 19th century. One of the most important mathematical achievements of the 20th century was the collaborative effort, taking up more than 10,000 journal pages and mostly published between 1960 and 2004, that culminated in a complete classification of finite simple groups.

Παραδείγματα από το σώμα κειμένου για group theory
1. For 4,500 rubles a month, participants get three classes a week –– two individual instrument lessons and one group theory and vocal lesson.