Special group (finite group theory)

In group theory, a discipline within abstract algebra, a special group is a finite group of prime power order that is either elementary abelian itself or of class 2 with its derived group, its center, and its Frattini subgroup all equal and elementary abelian (Gorenstein 1980). A special group of order pⁿ that has class 2 and whose derived group has order p is called an extra special group.

References

• Gorenstein, D. (1980), Finite groups (2nd ed.), New York: Chelsea Publishing Co., ISBN 978-0-8284-0301-6, http://www.ams.org/bookstore-getitem/item=CHEL-301-H 

0.00 (0 votes) Original source: https://en.wikipedia.org/wiki/Special group (finite group theory). Read more