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 also

*binary polyhedral group
*binary dihedral group
*binary tetrahedral group
*binary octahedral group
*binary icosahedral group


Wikimedia Foundation. 2010.

Look at other dictionaries:

  • Binary tetrahedral group — In mathematics, the binary tetrahedral group is an extension of the tetrahedral group T of order 12 by a cyclic group of order 2.It is the binary polyhedral group corresponding to the tetrahedral group, and as such can be defined as the preimage… …   Wikipedia

  • Binary icosahedral group — In mathematics, the binary icosahedral group is an extension of the icosahedral group I of order 60 by a cyclic group of order 2. It can be defined as the preimage of the icosahedral group under the 2:1 covering homomorphism:mathrm{Sp}(1) o… …   Wikipedia

  • Binary octahedral group — In mathematics, the binary octahedral group is an extension of the octahedral group O of order 24 by a cyclic group of order 2. It can be defined as the preimage of the octahedral group under the 2:1 covering homomorphism:mathrm{Sp}(1) o… …   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

  • 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

  • Binary Golay code — In mathematics and computer science, a binary Golay code is a type of error correcting code used in digital communications. The binary Golay code, along with the ternary Golay code, has a particularly deep and interesting connection to the theory …   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

  • Group action — This article is about the mathematical concept. For the sociology term, see group action (sociology). Given an equilateral triangle, the counterclockwise rotation by 120° around the center of the triangle acts on the set of vertices of the… …   Wikipedia

  • Cyclic number — This article is about numbers where permutations of their digits (in some base) yield related numbers. For the number theoretic concept, see cyclic number (group theory). A summary of this article appears in Repeating decimal. A cyclic number is… …   Wikipedia

  • Dicyclic group — In group theory, a dicyclic group (notation Dicn) is a member of a class of non abelian groups of order 4n (n > 1). It is an extension of the cyclic group of order 2 by a cyclic group of order 2n, giving the name di cyclic. In the… …   Wikipedia

Share the article and excerpts

Direct link
Do a right-click on the link above
and select “Copy Link”

We are using cookies for the best presentation of our site. Continuing to use this site, you agree with this.