On subgroups of finite exponent in groups

dc.contributor.author	Artemovych, O.D.
dc.date.accessioned	2019-06-12T20:59:40Z
dc.date.available	2019-06-12T20:59:40Z
dc.date.issued	2015
dc.identifier.citation	On subgroups of finite exponent in groups / O.D. Artemovych // Algebra and Discrete Mathematics. — 2015. — Vol. 19, № 1. — С. 1-7. — Бібліогр.: 13 назв. — англ.	uk_UA
dc.identifier.issn	1726-3255
dc.identifier.other	2010 MSC:20F50, 20F26, 20E26.
dc.identifier.uri	http://dspace.nbuv.gov.ua/handle/123456789/152792
dc.description.abstract	We investigate properties of groups with subgroups of finite exponent and prove that a non-perfect group G of infinite exponent with all proper subgroups of finite exponent has the following properties: (1) G is an indecomposable p-group, (2) if the derived subgroup G′ is non-perfect, then G/G′′ is a group of Heineken-Mohamed type. We also prove that a non-perfect indecomposable group G with the non-perfect locally nilpotent derived subgroup G′ is a locally finite p-group.	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	On subgroups of finite exponent in groups	uk_UA
dc.type	Article	uk_UA
dc.status	published earlier	uk_UA