Finite groups that need more generators
than any proper quotient

Francesca Dalla Volta
Dipartimento di Matematica ``F. Enriques''
Università di Milano
Via Saldini 50, 20133 Milano
Italy
e-mail: dallavolta@vmimat.mat.unimi.it
and
Andrea Lucchini
Dipartimento di Elettronica
per l'Automazione
Università di Brescia
Via Branze 38, 25123 Brescia
Italy
e-mail: lucchini@bsing.ing.unibs.it

Abstract:

A structure theorem is proved for finite groups with the property that, for some integer m with , every proper quotient group can be generated by m elements but the group itself cannot.

PDF file size: 64Kb.