centralizer
41McLaughlin group (mathematics) — For the television program, see The McLaughlin Group. In the mathematical discipline known as group theory, the McLaughlin group McL is a sporadic simple group of order 27 · 36 · 53· 7 · 11 = 898,128,000, discovered by McLaughlin (1969) as an… …
42Nichols algebra — The Nichols algebra of a braided vector space (with the braiding often induced by a finite group) is a braided Hopf algebra which is denoted by and named after the mathematician Warren Nichols. It takes the role of quantum Borel part of a pointed …
43centralize — verb ( ized; izing) Date: 1800 intransitive verb to form a center ; cluster around a center transitive verb 1. to bring to a center ; consolidate < centralize all the data in one file …
44Center (group theory) — In abstract algebra, the center of a group G is the set Z ( G ) of all elements in G which commute with all the elements of G . That is,:Z(G) = {z in G | gz = zg ;forall,g in G}.Note that Z ( G ) is a subgroup of G , because # Z ( G ) contains e …
45Monster group — For infinite groups with all nontrivial proper subgroups isomorphic, see Tarski monster group. Group theory …
46Inner automorphism — In abstract algebra an inner automorphism is a function which, informally, involves a certain operation being applied, then another one (x) performed, and then the initial operation being reversed. Sometimes this has a net effect ( take off shoes …
47List of group theory topics — Contents 1 Structures and operations 2 Basic properties of groups 2.1 Group homomorphisms 3 Basic types of groups …
48Generalized permutation matrix — In mathematics, a generalized permutation matrix (or monomial matrix) is a matrix with the same nonzero pattern as a permutation matrix, i.e. there is exactly one nonzero entry in each row and each column. Unlike a permutation matrix, where the… …
49Adjoint representation — In mathematics, the adjoint representation (or adjoint action) of a Lie group G is the natural representation of G on its own Lie algebra. This representation is the linearized version of the action of G on itself by conjugation.Formal… …
50Baby Monster group — In the mathematical field of group theory, the Baby Monster group B (or just Baby Monster ) is a group of order : 241 · 313 · 56 · 72 · 11 · 13 · 17 · 19 · 23 · 31 · 47: = 4154781481226426191177580544000000: ≈ 4 · 1033.It is a simple group ,… …
