Generalizing Baer’s norm

Autor: Mark L. Lewis, Mohammad Zarrin
Rok vydání: 2018
Předmět:
Zdroj: Journal of Group Theory. 22:157-168
ISSN: 1435-4446
1433-5883
DOI: 10.1515/jgth-2018-0031
Popis: Let G be a group and n a positive integer. We define B n ⁢ ( G ) {B_{n}(G)} to be the intersection of the normalizers of all the non-n-subnormal subgroups of G. We give a new characterization for nilpotent groups in terms of a series defined via B n ⁢ ( G ) {B_{n}(G)} .
Databáze: OpenAIRE