metacyclic group
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Metacyclic group — In group theory, a metacyclic group is an extension of a cyclic group by a cyclic group. That is, it is a group G for which there is a short exact sequence where H and K are cyclic. Equivalently, a metacyclic group is a group G having a cyclic… … Wikipedia
Frobenius group — In mathematics, a Frobenius group is a transitive permutation group on a finite set, such that no non trivial elementfixes more than one point and some non trivial element fixes a point. They are named after F. G. Frobenius. Structure The… … 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
Polycyclic group — In mathematics, especially in the area of abstract algebra known as group theory, a polycyclic group is a solvable group that satisfies the maximal condition on subgroups (that is, every subgroup is finitely generated).Equivalently, a group G is… … 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
Spherical 3-manifold — In mathematics, a spherical 3 manifold M is a 3 manifold of the form M = S3 / Γ where Γ is a finite subgroup of SO(4) acting freely by rotations on the 3 sphere S3. All such manifolds are prime, orientable, and closed. Spherical 3 manifolds are… … 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
Fox n-coloring — In the mathematical field of knot theory, Fox n coloring is a method of specifying a representation of a knot group (or a link group) onto the dihedral group of order n where n is an odd integer by coloring arcs in a link diagram (the… … Wikipedia
Gene Ward Smith — (born 1947) is an American mathematician, composer and music theorist. In mathematics he has worked in the areas of Galois theory and Moonshine theory. As a composer, he is noted for pioneering many different tuning systems Fact|date=April 2008.… … Wikipedia
