Quasi-dihedral group
From Encyclopedia of Mathematics
A finite 
-group defined by generators 
and defining relations
 |
where 
. The order of a quasi-dihedral group is 
; the group has a cyclic invariant subgroup of index 2. The name was given because of the similarity of the defining relations with those of a dihedron group; however, a quasi-dihedral group is not isomorphic to the latter for any value of 
. A quasi-dihedral group is sometimes called a semi-dihedral group.
References
| [1] | B. Huppert, "Endliche Gruppen" , 1 , Springer (1967) |
How to Cite This Entry:
Quasi-dihedral group. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Quasi-dihedral_group&oldid=32458
Quasi-dihedral group. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Quasi-dihedral_group&oldid=32458
This article was adapted from an original article by N.N. Vil'yams (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article