Theorems of Sylow type

Autor:	Danila O. Revin, E. P. Vdovin
Rok vydání:	2011
Předmět:	Hall subgroup Discrete mathematics Mathematics::Group Theory Pure mathematics Conjugacy class Locally finite group General Mathematics Sylow theorems Bibliography Type (model theory) Condensed Matter::Mesoscopic Systems and Quantum Hall Effect Focal subgroup theorem Mathematics
Zdroj:	Russian Mathematical Surveys. 66:829-870
ISSN:	1468-4829 0036-0279
Popis:	Let be a set of primes. Generalizing the known properties of Sylow subgroups, Hall introduced the classes , , and of finite groups that contain a Hall -subgroup, precisely one conjugacy class of Hall -subgroups, and precisely one conjugacy class of maximal -subgroups, respectively. The present paper concerns results about , , and that have been obtained by different authors at different times. Bibliography: 113 titles.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::f1ffe487b4d301c812dbbaca5f5ccd8a https://doi.org/10.1070/rm2011v066n05abeh004762 Zobrazit plný text záznamu