FINITE-GROUPS THAT NEED MORE GENERATORS THAN ANY PROPER QUOTIENT

Authors
DALLAVOLTA F LUCCHINI A
Citation
F. Dallavolta et A. Lucchini, FINITE-GROUPS THAT NEED MORE GENERATORS THAN ANY PROPER QUOTIENT, Journal of the Australian Mathematical Society. Series A. Pure mathematics and statistics, 64, 1998, pp. 82-91
Citations number
16
Categorie Soggetti
Mathematics,"Statistic & Probability",Mathematics,"Statistic & Probability
Journal title
Journal of the Australian Mathematical Society. Series A. Pure mathematics and statistics → ACNP
ISSN journal
02636115
Volume
64
Year of publication
1998
Part
1
Pages
82 - 91
Database
ISI
SICI code
0263-6115(1998)64:<82:FTNMGT>2.0.ZU;2-J
Abstract
A structure theorem is proved for finite groups with the property that , for some integer m with m greater than or equal to 2, every proper q uotient group can be generated by m elements but the group itself cann ot.