We found a match
Your institution may have rights to this item. Sign in to continue.
- Title
On the derived length of subgroups of infinite index in soluble groups.
- Authors
Evans, Martin J.; Smith, Howard; Dixon, Martyn R.
- Abstract
For every integer d ≥ 4 we construct a finitely generated soluble group G of derived length d and infinite (Prüfer) rank such that every subgroup of infinite index in G has derived length less than d. We also give examples of finitely generated soluble groups of infinite rank whose Frattini factor groups have finite rank.
- Subjects
SOLVABLE groups; GROUP theory; FRATTINI subgroups; MAXIMAL subgroups; FINITE groups
- Publication
Journal of Group Theory, 2004, Vol 7, Issue 1, p127
- ISSN
1433-5883
- Publication type
Article