The paper classifies (up to isomorphism) those groups of prime power order whose derived subgroups have prime order.
The classification of minimal non-prime-power order groups
โ Scribed by Joseph A. Gallian; David Moulton
- Publisher
- Springer
- Year
- 1992
- Tongue
- English
- Weight
- 316 KB
- Volume
- 59
- Category
- Article
- ISSN
- 0003-889X
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
We describe in some detail an algorithm which is an important ingredient in the performance of programs for working with descriptions of groups of prime-power order. It is an algorithm for computing a useful power-commutator presentation for the pcovering group of a group given by a power-commutator
Let Z n be a cyclic group of order n and ) implies that S and T are conjugate in Aut(Z n ), the automorphism group of Z n . In this paper, we give a complete classification for DCI-subsets of Z n in the case of n= p a , where p is an odd prime.