Search for "Group theory" in article titles:

1. Group theory: In mathematics, groups often arise as structures representing the set of possible symmetries of some object. We have been intentionally vague about the meaning of the terms symmetry and object. [100%] 2023-06-26
2. Group theory: Group theory is the study of mathematical groups, including their symmetries and permutations. It has applications in science, and has become one of the most active branches in all of mathematics in the 20th century. [100%] 2023-03-13 [Algebra]
3. Group theory: Welcome to Group Theory! Group Theory is a vibrant, wide area of current research in mathematics, computer science and mathematical/theoretical physics. [100%] 2024-01-19 [{{PAGENAME}}]
4. 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 ... (Branch of mathematics that studies the properties of groups) [100%] 2024-08-13 [Group theory]
5. Group field theory: Group field theory (GFT) is a quantum field theory in which the base manifold is taken to be a Lie group. It is closely related to background independent quantum gravity approaches such as loop quantum gravity, the spin foam formalism ... (Physics) [81%] 2023-09-13 [Quantum gravity]
6. Geometric group theory: 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 ... [81%] 2024-01-19 [Geometric group theory] [Group theory]...
7. Muted group theory: Muted group theory (MGT), created by Edwin Ardener and Shirley Ardener in 1975, is a communication theory that focuses on how marginalized groups are muted and excluded via the use of language. The main idea of MGT is that "Language ... (Social) [81%] 2024-01-19 [Communication theory] [Cultural anthropology]...
8. Order (group theory): In mathematics, the order of a finite group is the number of its elements. If a group is not finite, one says that its order is infinite. (Group theory) [81%] 2023-09-15 [Group theory]
9. Conjugation (group theory): In group theory, conjugation is an operation between group elements. The conjugate of x by y is: If x and y commute then the conjugate of x by y is just x again. (Group theory) [81%] 2023-08-07
10. SLAC Theory Group: The SLAC Theory Group is the hub of theoretical particle physics research at the SLAC National Accelerator Laboratory at Stanford University. It is a subdivision of the Elementary Particle Physics (EPP) Division at SLAC. (Theoretical physics institute) [81%] 2024-01-19 [Theoretical physics institutes]
11. Order (group theory): In group theory, the order of a group element is the least positive integer (if one exists) such that raising the element to that power gives the identity element of the group. If there is no such number, the element ... (Group theory) [81%] 2023-06-14
12. Center (group theory): The center of a group (denoted ) is the set of all elements which commute with every element of the group. That is, the center of is. (Group theory) [81%] 2023-03-04 [Algebra]
13. Character (group theory): In group theory, a character may refer one of two related concepts: a group homomorphism from a group to the unit circle, or the trace of a group representation. A character of a group G is a group homomorphism from ... (Group theory) [81%] 2023-06-09
14. Group threat theory: Group threat theory, also known as group position theory, is a sociological theory that proposes the larger the size of an outgroup, the more the corresponding ingroup perceives it to threaten its own interests, resulting in the ingroup members having ... [81%] 2024-01-19 [Sociological theories]
15. 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. [81%] 2024-01-19 [Computational fields of study]
16. Word (group theory): In group theory, a word is any written product of group elements and their inverses. For example, if x, y and z are elements of a group G, then xy, zxzz and yzxxyz are words in the set {x, y ... (Group theory) [81%] 2023-11-10 [Group theory]
17. Formation (group theory): In group theory, a branch of mathematics, a formation is a class of groups closed under taking images and such that if G/M and G/N are in the formation then so is G/M∩N. (Gaschütz 1962) introduced ... (Group theory) [81%] 2023-11-14 [Group theory]
18. Component (group theory): In mathematics, in the field of group theory, a component of a finite group is a quasisimple subnormal subgroup. Any two distinct components commute. (Group theory) [81%] 2023-09-15 [Group theory] [Subgroup properties]...
19. Series (group theory): In group theory, a series is a chain (mathematics) of subgroups of a group ordered by subset inclusion. The structure of the group is closely related to the existence of series with particular properties. (Group theory) [81%] 2023-07-12
20. Retract (group theory): In mathematics, in the field of group theory, a subgroup of a group is termed a retract if there is an endomorphism of the group that maps surjectively to the subgroup and is the identity on the subgroup. In symbols ... (Group theory) [81%] 2023-12-11 [Group theory] [Subgroup properties]...
21. Complement (group theory): In mathematics, especially in the area of algebra known as group theory, a complement of a subgroup H in a group G is a subgroup K of G such that Equivalently, every element of G has a unique expression as ... (Group theory) [81%] 2024-06-11 [Group theory]
22. Center (group theory): In abstract algebra, the center of a group G is the set of elements that commute with every element of G. It is denoted Z(G), from German Zentrum, meaning center. (Group theory) [81%] 2024-07-15 [Group theory] [Functional subgroups]...
23. Retract (group theory): In mathematics, in the field of group theory, a subgroup of a group is termed a retract if there is an endomorphism of the group that maps surjectively to the subgroup and is the identity on the subgroup. In symbols ... (Group theory) [81%] 2024-07-31 [Group theory] [Subgroup properties]...
24. Combinatorial group theory: In mathematics, combinatorial group theory is the theory of free groups, and the concept of a presentation of a group by generators and relations. It is much used in geometric topology, the fundamental group of a simplicial complex having in ... [81%] 2024-08-10 [Combinatorial group theory]
25. Thin group (finite group theory): In the mathematical classification of finite simple groups, a thin group is a finite group such that for every odd prime number p, the Sylow p-subgroups of the 2-local subgroups are cyclic. Informally, these are the groups that ... (Finite group theory) [75%] 2023-12-11 [Finite groups]
26. 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 ... (Finite group theory) [75%] 2023-10-07 [Finite groups]
27. Special group (finite group theory): In group theory, a discipline within abstract algebra, a special group is a finite group of prime power order that is either elementary abelian itself or of class 2 with its derived group, its center, and its Frattini subgroup all ... (Finite group theory) [75%] 2023-12-12 [Finite groups] [P-groups]...
28. Thin group (algebraic group theory): In algebraic group theory, a thin group is a discrete Zariski-dense subgroup of G(R) that has infinite covolume, where G is a semisimple algebraic group over the reals. This is in contrast to a lattice, which is a ... (Algebraic group theory) [75%] 2023-12-12 [Linear algebraic groups]
29. Special group (algebraic group theory): In the theory of algebraic groups, a special group is a linear algebraic group G with the property that every principal G-bundle is locally trivial in the Zariski topology. Special groups include the general linear group, the special linear ... (Algebraic group theory) [75%] 2023-12-11 [Linear algebraic groups]
30. N-group (category theory): In mathematics, an n-group, or n-dimensional higher group, is a special kind of n-category that generalises the concept of group to higher-dimensional algebra. Here, n {\displaystyle n} may be any natural number or infinity. (Category theory) [70%] 2023-10-23 [Group theory] [Higher category theory]...