subgroup-sublattice
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SQ universal group — In mathematics, in the realm of group theory, a countable group is said to be SQ universal if every countable group can be embedded in one of its quotient groups. SQ universality can be thought of as a measure of largeness or complexity of a… … Wikipedia
Complete lattice — In mathematics, a complete lattice is a partially ordered set in which all subsets have both a supremum (join) and an infimum (meet). Complete lattices appear in many applications in mathematics and computer science. Being a special instance of… … Wikipedia
Higman–Sims group — In the mathematical field of group theory, the Higman–Sims group HS (named after Donald G. Higman and Charles C. Sims) is a finite group of order : 29 · 32 · 53 · 7 · 11: = 44352000.: ≈ 4 · 107.It is a simple group , meaning it does not have any… … Wikipedia
Discrete series representation — In mathematics, a discrete series representation is an irreducible unitary representation of a locally compact topological group G that is a subrepresentation of the left regular representation of G on L²(G). In the Plancherel measure, such… … Wikipedia
Closure operator — In mathematics, a closure operator on a set S is a function cl: P(S) → P(S) from the power set of S to itself which satisfies the following conditions for all sets X,Y ⊆ S. X ⊆ cl(X) (cl is extensive) X ⊆ Y implies cl(X) ⊆ cl(Y) (cl… … Wikipedia
Weight (representation theory) — In the mathematical field of representation theory, a weight of an algebra A over a field F is an algebra homomorphism from A to F, or equivalently, a one dimensional representation of A over F. It is the algebra analogue of a multiplicative… … Wikipedia
Hurwitz quaternion — In mathematics, a Hurwitz quaternion (or Hurwitz integer) is a quaternion whose components are either all integers or all half integers (a mixture of integers and half integers is not allowed). The set of all Hurwitz quaternions is:H =… … Wikipedia
Congruence lattice problem — In mathematics, the congruence lattice problem asks whether every algebraic distributive lattice is isomorphic to the congruence lattice of some other lattice. The problem was posed by Robert P. Dilworth, and for many years it was one of the most … Wikipedia
