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1. Representation theory of finite groups: The representation theory of groups is a part of mathematics which examines how groups act on given structures. Here the focus is in particular on operations of groups on vector spaces. (Representations of finite groups, particularly on vector spaces) [100%] 2024-01-19 [Representation theory of finite groups]
2. Representation theory of finite groups: The representation theory of groups is a part of mathematics which examines how groups act on given structures. Here the focus is in particular on operations of groups on vector spaces. (Representations of finite groups, particularly on vector spaces) [100%] 2023-12-31 [Representation theory of finite groups]
3. Finite group: A group with finitely many elements. The number of elements is called the order of the group. (Mathematics) [87%] 2023-10-17
4. Finite group: In abstract algebra, a finite group is a group whose underlying set is finite. Finite groups often arise when considering symmetry of mathematical or physical objects, when those objects admit just a finite number of structure-preserving transformations. (Mathematical group based upon a finite number of elements) [87%] 2023-12-12 [Finite groups] [Properties of groups]...
5. Finite strain theory: In continuum mechanics, the finite strain theory—also called large strain theory, or large deformation theory—deals with deformations in which strains and/or rotations are large enough to invalidate assumptions inherent in infinitesimal strain theory. In this case, the ... (Physics) [80%] 2023-12-13 [Tensors] [Continuum mechanics]...
6. List of finite simple groups: In mathematics, the classification of finite simple groups states that every finite simple group is cyclic, or alternating, or in one of 16 families of groups of Lie type, or one of 26 sporadic groups. The list below gives all ... (Non-infinite sets with associative invertible operations, unbreakable into smaller such sets) [73%] 2023-12-12 [Mathematics-related lists] [Group theory]...
7. Linear representations of finite groups: Let V {\displaystyle {\mathcal {V}}} and W {\displaystyle {\mathcal {W}}} be two vector spaces over the same field K {\displaystyle \mathbb {K} } , and let T : V → W {\displaystyle T:{\mathcal {V}}\to {\mathcal {W}}} be a mapping between the two ... [73%] 2024-01-19
8. 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. [72%] 2023-06-26
9. 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. [72%] 2023-03-13 [Algebra]
10. Group theory: Welcome to Group Theory! Group Theory is a vibrant, wide area of current research in mathematics, computer science and mathematical/theoretical physics. [72%] 2024-01-19 [{{PAGENAME}}]
11. 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) [72%] 2024-08-13 [Group theory]
12. Theory of Lie groups: In mathematics, Theory of Lie groups is a series of books on Lie groups by Claude Chevalley (1946, 1951, 1955). The first in the series was one of the earliest books on Lie groups to treat them from the global ... [72%] 2023-10-08 [Mathematics books] [Lie groups]...
13. Residually-finite group: A group that can be approximated by finite groups. Let $G$ be a group and $\rho$ a relation (in other words, a predicate) between elements and sets of elements, defined on $G$ and all homomorphic images of it (for example ... (Mathematics) [71%] 2023-10-27
14. Finite group scheme: A group scheme that is finite and flat over the ground scheme. If $ G $ is a finite group scheme over a scheme $ ( G, {\mathcal O} _ {S} ) $, then $ G = \mathop{\rm Spec} {\mathcal A} $, where $ {\mathcal A} $ is a finite ... (Mathematics) [71%] 2023-12-13
15. Locally finite group: In mathematics, in the field of group theory, a locally finite group is a type of group that can be studied in ways analogous to a finite group. Sylow subgroups, Carter subgroups, and abelian subgroups of locally finite groups have ... (Type of group) [71%] 2023-12-13 [Properties of groups] [Infinite group theory]...
16. Locally finite group: A group in which every finitely-generated subgroup is finite. Any locally finite group is a torsion group (cf. (Mathematics) [71%] 2023-12-13
17. Residually finite group: In the mathematical field of group theory, a group G is residually finite or finitely approximable if for every element g that is not the identity in G there is a homomorphism h from G to a finite group, such ... [71%] 2024-01-19 [Infinite group theory] [Properties of groups]...
18. Simple finite group: finite simple group A finite group without normal subgroups (cf. Normal subgroup) different from the trivial subgroup and the whole group. (Mathematics) [71%] 2023-12-12
19. Finite blocklength information theory: Finite block-length information theory is a branch of information theory that analyzes maximum channel coding rate under the finite length frame. The Shannon–Hartley theorem developed under the hypothesis of an infinite length frame and to approach Shannon capacity ... (Information-theoretical limit on transmission rate in a communication channel under finite transmission time) [69%] 2023-12-13 [Information theory] [Telecommunication theory]...
20. Finite group, representation of a: A homomorphism of a finite group $ G $ into the group of non-singular linear mappings of a vector space into itself over a field $ K $. The representation theory of finite groups is the most highly developed (and is a most ... (Mathematics) [68%] 2023-10-18