J Austral Math Soc Ser A 57 pp357--364, 1994.

A Particular Class of Supersoluble Groups

W. Dirscherl and H. Heineken

Abstract

We consider (finite) groups in which every two-generator subgroup has cyclic commutator subgroup. Among other things, these groups are metabelian modulo their hypercentres, and in the corresponding quotient group all subgroups of the commutator subgroup are normal.

1991 AMS Subject Classification: primary 20D10; secondary 20F12, 20F16

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Authors

W. Dirscherl

H. Heineken

Mathematisches Institut der Universitat, 97074 Wurzburg, Germany.