- cyclic group
**cyclic group**noun (mathematics)A group on which every element can be expressed as a power of a single element• • •Main Entry: ↑cycle

*Useful english dictionary.
2012.*

- cyclic group
**cyclic group**noun (mathematics)A group on which every element can be expressed as a power of a single element• • •Main Entry: ↑cycle

*Useful english dictionary.
2012.*

**Cyclic group**— Group theory Group theory … Wikipedia**cyclic group**— ciklinė grupė statusas T sritis fizika atitikmenys: angl. cyclic group vok. zyklische Gruppe, f rus. циклическая группа, f pranc. groupe cyclique, m … Fizikos terminų žodynas**Locally cyclic group**— In group theory, a locally cyclic group is a group ( G , *) in which every finitely generated subgroup is cyclic.ome facts*Every cyclic group is locally cyclic, and every locally cyclic group is abelian. *Every finitely generated locally cyclic… … Wikipedia**Free-by-cyclic group**— In group theory, a group G is said to be free by cyclic if it has a free normal subgroup F such that the quotient group : G/F is cyclic. In other words, G is free by cyclic if it can be expressed as a group extension of a free group by a cyclic… … Wikipedia**Binary cyclic group**— In mathematics, the binary cyclic group of the n gon is the cyclic group of order 2 n , C {2n}, thought of as a extension of the cyclic group C n a cyclic group of order 2.It is the binary polyhedral group corresponding to the cyclic group.ee… … Wikipedia**Primary cyclic group**— A primary cyclic group is a cyclic group of prime power order:C {p^m};(for any prime p , and natural number m ).Every finite abelian group G may be written as a finite direct sum of primary cyclic groups::G=igoplus {1leq i leq n}C p i}^{m i;This … Wikipedia**Group (mathematics)**— This article covers basic notions. For advanced topics, see Group theory. The possible manipulations of this Rubik s Cube form a group. In mathematics, a group is an algebraic structure consisting of a set together with an operation that combines … Wikipedia**Cyclic order**— In mathematics, a cyclic order is a way to arrange a set of objects in a circle.[nb] Unlike most structures in order theory, a cyclic order cannot be modeled as a binary relation a < b . One does not say that east is more clockwise than west.… … Wikipedia**Cyclic (mathematics)**— There are many terms in mathematics that begin with cyclic: Cyclic chain rule, for derivatives, used in thermodynamics Cyclic code, linear codes closed under cyclic permutations Cyclic convolution, a method of combining periodic functions Cycle… … Wikipedia**Cyclic module**— In mathematics, more specifically in ring theory, a cyclic module is a module over a ring which is generated by one element. The term is by analogy with cyclic groups, that is groups which are generated by one element. Contents 1 Definition 2… … Wikipedia