z -Classes in finite groups of conjugate type (n,1)

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DC Field	Value	Language
dc.contributor.author	Gongopadhyay, Krishnendu	-
dc.date.accessioned	2020-11-21T06:51:38Z	-
dc.date.available	2020-11-21T06:51:38Z	-
dc.date.issued	2018	-
dc.identifier.citation	Proceedings of the Indian Academy of Sciences: Mathematical Sciences, 128(3)	en_US
dc.identifier.other	DOI: 10.1007/s12044-018-0412-5	-
dc.identifier.uri	https://www.scopus.com/record/display.uri?eid=2-s2.0-85048668788&doi=10.1007%2fs12044-018-0412-5&origin=inward&txGid=a0486467b535f4c18844c3fdaf4fe3d1	-
dc.identifier.uri	http://hdl.handle.net/123456789/2023	-
dc.description	Only IISERM authors are available in the record.	-
dc.description.abstract	Two elements in a group G are said to be z-equivalent or to be in the same z-class if their centralizers are conjugate in G. In a recent work, Kulkarni et al. (J. Algebra Appl., 15 (2016) 1650131) proved that a non-abelian p-group G can have at most pk-1p-1+1 number of z-classes, where \| G/ Z(G) \| = pk. Here, we characterize the p-groups of conjugate type (n, 1) attaining this maximal number. As a corollary, we characterize p-groups having prime order commutator subgroup and maximal number of z-classes.	en_US
dc.language.iso	en	en_US
dc.subject	Conjugacy classes of centralizers	en_US
dc.subject	Extraspecial groups	en_US
dc.subject	P-groups	en_US
dc.subject	Z-classes	en_US
dc.title	z -Classes in finite groups of conjugate type (n,1)	en_US
dc.type	Article	en_US
Appears in Collections:	Research Articles

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