THE INFLUENCE OF CONJUGACY CLASS SIZES ON THE STRUCTURE OF FINITE GROUPS: A SURVEY

Autor:	Alan R. Camina, Rachel Camina
Rok vydání:	2011
Předmět:	Algebra Conjugacy class Early results General Mathematics Sylow theorems Structure (category theory) Mathematics
Zdroj:	Asian-European Journal of Mathematics. :559-588
ISSN:	1793-7183 1793-5571
DOI:	10.1142/s1793557111000459
Popis:	The importance of conjugacy classes for the structure of finite groups was recognised very early in the study of groups. In this survey we consider the results from the many articles which have developed this topic and examined the influence of conjugacy class sizes or the number of conjugacy classes on the structure of finite groups. Whilst we begin by mentioning the early results of Sylow and Burnside, our major objective is to highlight the more recent work and present some interesting questions which we hope will inspire further research.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::2ac28f1fa8ed5cbb40a70159074d554c https://doi.org/10.1142/s1793557111000459 Zobrazit plný text záznamu