z-classes in groups: a survey

SINGH, ANUPAM; Bhunia, Sushil

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dc.contributor.author	Bhunia, Sushil	en_US
dc.contributor.author	SINGH, ANUPAM	en_US
dc.date.accessioned	2021-11-18T11:43:38Z
dc.date.available	2021-11-18T11:43:38Z
dc.date.issued	2021-11	en_US
dc.identifier.citation	Indian Journal of Pure and Applied Mathematics, 52, 713–720.	en_US
dc.identifier.issn	0019-5588	en_US
dc.identifier.issn	0975-7465	en_US
dc.identifier.uri	http://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/6383
dc.identifier.uri	https://doi.org/10.1007/s13226-021-00186-6	en_US
dc.description.abstract	This survey article explores the notion of z-classes in groups. The concept introduced here is related to the notion of orbit types in transformation groups, and types or genus in the representation theory of finite groups of Lie type. Two elements in a group are said to be z-equivalent (or z-conjugate) if their centralizers are conjugate. This is a weaker notion than the conjugacy of elements. In this survey article, we present several known results on this topic and suggest some further questions.	en_US
dc.language.iso	en	en_US
dc.publisher	Indian National Science Academy/.Springer Nature	en_US
dc.subject	z-classes	en_US
dc.subject	Groups	en_US
dc.subject	Classical groups	en_US
dc.subject	Glgebraic groups	en_US
dc.subject	2021-NOV-WEEK3	en_US
dc.subject	TOC-NOV-2021	en_US
dc.subject	2021	en_US
dc.title	z-classes in groups: a survey	en_US
dc.type	Article	en_US
dc.contributor.department	Dept. of Mathematics	en_US
dc.identifier.sourcetitle	Indian Journal of Pure and Applied Mathematics	en_US
dc.publication.originofpublisher	Indian	en_US