A PARTICULAR CLASS OF SUPERSOLUBLE GROUPS

Authors
DIRSCHERL W HEINEKEN H
Citation
W. Dirscherl et H. Heineken, A PARTICULAR CLASS OF SUPERSOLUBLE GROUPS, Journal of the Australian Mathematical Society. Series A. Pure mathematics and statistics, 57, 1994, pp. 357-364
Citations number
3
Categorie Soggetti
Mathematics, General","Statistic & Probability",Mathematics,"Statistic & Probability
Journal title
Journal of the Australian Mathematical Society. Series A. Pure mathematics and statistics → ACNP
ISSN journal
02636115
Volume
57
Year of publication
1994
Part
3
Pages
357 - 364
Database
ISI
SICI code
0263-6115(1994)57:<357:APCOSG>2.0.ZU;2-B
Abstract
We consider (finite) groups in which every two-generator subgroup has cyclic commutator subgroup. Among other things, these groups are metab elian modulo their hypercentres, and in the corresponding quotient gro up all subgroups of the commutator subgroup are normal.