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monomial group

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  • Monomial group — In mathematics, in the area of algebra studying the character theory of finite groups, an M group or monomial group is a finite group whose complex irreducible characters are all monomial, that is, induced from characters of degree 1 (Isaacs… …   Wikipedia

  • Monomial — In mathematics, in the context of polynomials, the word monomial can have one of two different meanings: The first is a product of powers of variables, or formally any value obtained by finitely many multiplications of a variable. If only a… …   Wikipedia

  • Monomial representation — In mathematics, a linear representation ρ of a group G is a monomial representation if there is a finite index subgroup H and a one dimensional linear representation σ of H, such that ρ is equivalent to the induced representation IndHGσ.… …   Wikipedia

  • Supersolvable group — In mathematics, a group is supersolvable (or supersoluble) if it has an invariant normal series where all the factors are cyclic groups. Supersolvablility is stronger than the notion of solvability.DefinitionLet G be a group. G is supersolvable… …   Wikipedia

  • M-group — In mathematics, especially in the field of group theory, the term M group may refer to a few distinct concepts: * monomial group, in character theory, a group whose complex irreducible characters are all monomial * Iwasawa group or modular group …   Wikipedia

  • Z-group — In mathematics, especially in the area of algebra known as group theory, the term Z group refers to a number of distinct types of groups: * in the study of finite groups, a Z group is a finite groups whose Sylow subgroups are all cyclic. * in the …   Wikipedia

  • Butcher group — In mathematics, the Butcher group, named after the New Zealand mathematician John C. Butcher by Hairer Wanner (1974), is an infinite dimensional group first introduced in numerical analysis to study solutions of non linear ordinary differential… …   Wikipedia

  • List of mathematics articles (M) — NOTOC M M estimator M group M matrix M separation M set M. C. Escher s legacy M. Riesz extension theorem M/M/1 model Maass wave form Mac Lane s planarity criterion Macaulay brackets Macbeath surface MacCormack method Macdonald polynomial Machin… …   Wikipedia

  • Generalized 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… …   Wikipedia

  • Newton's identities — In mathematics, Newton s identities, also known as the Newton–Girard formulae, give relations between two types of symmetric polynomials, namely between power sums and elementary symmetric polynomials. Evaluated at the roots of a monic polynomial …   Wikipedia

  • Cycle index — In mathematics, and in particular in the field of combinatorics, cycle indices are used in combinatorial enumeration when symmetries are to be taken into account. This is particularly important in species theory. Each permutation π of a finite… …   Wikipedia

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