Document Type
Article
Rights
This item is available under a Creative Commons License for non-commercial use only
Abstract
It is a long standing problem of A.L.S. Corner as to whether there exists a non-transitive fully transitive Abelian p-group with finite Ulm subgroups. The principal result of this paper shows that no such group exists for a special class of p-groups if the Ulm subjgroup is the direct sum of two cyclic groups. Some results on summands of trnsitive and fully transitive groups are obtained.
Recommended Citation
Carroll, D. and Brendan Goldsmith:On transitive and fully transitive abelian p-groups. Proceedings of the Royal Irish Academy, 96A 1 (1996) pp.33-41.
Publication Details
Proceedings of the Royal Irish Academy, 96A 1 (1996) pp.33-41. http://www.ria.ie/publications/index.html