On metanilpotent groups satisfying the minimal condition on normal subgroups

Autor:	Derek J. S. Robinson
Rok vydání:	2019
Předmět:	Normal subgroup Combinatorics Mathematics::Group Theory Algebra and Number Theory 010102 general mathematics 0103 physical sciences 010307 mathematical physics 0101 mathematics 01 natural sciences Mathematics
Zdroj:	Journal of Group Theory. 22:809-836
ISSN:	1435-4446 1433-5883
DOI:	10.1515/jgth-2018-0210
Popis:	A comprehensive account is given of the theory of metanilpotent groups with the minimal condition on normal subgroups. After reviewing classical material, many new results are established relating to the Fitting subgroup, the Hirsch–Plotkin radical, the Frattini subgroup, splitting and conjugacy, the Schur multiplier, Sylow structure and the maximal subgroups. Module theoretic and homological methods are used throughout.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::60860e5e33c3f15322dc2d65c97ecddd https://doi.org/10.1515/jgth-2018-0210 Zobrazit plný text záznamu