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.

Russo, F. (2009). On a result of L.-C. Kappe and M. Newell. INTERNATIONAL JOURNAL OF APPLIED MATHEMATICS & STATISTICS, 14, 24-29.

On a result of L.-C. Kappe and M. Newell

RUSSO, Francesco
2009-01-01

Abstract

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.
2009
Settore MAT/02 - Algebra
Settore MAT/03 - Geometria
Russo, F. (2009). On a result of L.-C. Kappe and M. Newell. INTERNATIONAL JOURNAL OF APPLIED MATHEMATICS & STATISTICS, 14, 24-29.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10447/55670
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