Normally ζ-reversible profinite groups

dc.contributor.author	Cimetta, L.
dc.contributor.author	Lucchini, A.
dc.date.accessioned	2019-06-16T10:48:18Z
dc.date.available	2019-06-16T10:48:18Z
dc.date.issued	2016
dc.identifier.citation	Normally ζ-reversible profinite groups / L. Cimetta, A. Lucchini // Algebra and Discrete Mathematics. — 2016. — Vol. 21, № 1. — С. 24-50. — Бібліогр.: 21 назв. — англ.	uk_UA
dc.identifier.issn	1726-3255
dc.identifier.other	2010 MSC:20E07.
dc.identifier.uri	http://dspace.nbuv.gov.ua/handle/123456789/155198
dc.description.abstract	We examine (finitely generated) profinite groups in which two formal Dirichlet series, the normal subgroup zeta function and the normal probabilistic zeta function, coincide; we call these groups normally ζ-reversible. We conjecture that these groups are pronilpotent and we prove this conjecture if G is a normally ζ-reversible satisfying one of the following properties: G is prosoluble, G is perfect, all the nonabelian composition factors of G are alternating groups.	uk_UA
dc.language.iso	en	uk_UA
dc.publisher	Інститут прикладної математики і механіки НАН України	uk_UA
dc.relation.ispartof	Algebra and Discrete Mathematics
dc.title	Normally ζ-reversible profinite groups	uk_UA
dc.type	Article	uk_UA
dc.status	published earlier	uk_UA