6533b859fe1ef96bd12b88de
RESEARCH PRODUCT
On a result of L.-C. Kappe and M. Newell
Francesco G. Russosubject
Settore MAT/02 - Algebrap-hypercentral groups hypercentral groups metabelian p-groupsSettore MAT/03 - Geometriadescription
There is a long line of research investigating upper central series of a group. The interest comes from the information which these series can give on the structure of a group. Baer (1952) extended the usual notion of center of a group, introducing that of p-centre, where p is a prime. Almost 40 years later, Kappe and Newell (1989) were able to embed the p-centre of a metabelian p-group in the p-th term of the upper central series. This was possible because of the growing knowledge on Engel groups of the 60s years. Here we extend the result of Kappe and Newell (1989) to wider classes of groups.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2009-01-01 |