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 notation of exact sequences of groups, this extension can be expressed as:
More generally, given any finite abelian group with an order-2 element, one can define a dicyclic group.
Read more about Dicyclic Group: Definition, Properties, Binary Dihedral Group, Generalizations
Famous quotes containing the word group:
“[The Republicans] offer ... a detailed agenda for national renewal.... [On] reducing illegitimacy ... the state will use ... funds for programs to reduce out-of-wedlock pregnancies, to promote adoption, to establish and operate children’s group homes, to establish and operate residential group homes for unwed mothers, or for any purpose the state deems appropriate. None of the taxpayer funds may be used for abortion services or abortion counseling.”
—Newt Gingrich (b. 1943)