The p-groups satisfying the condition: each cyclic subgroup is contained in the center or has a trivial intersection with it

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dc.contributor.authorPylyavska, Olha
dc.contributor.authorShatohina, Ju.
dc.date.accessioned2015-12-22T12:03:34Z
dc.date.available2015-12-22T12:03:34Z
dc.date.issued2006
dc.description.abstractY. Berkovich proposed the next problem: "Suppose that p-group G satisfies the following condition: if Z is a cyclic subgroup o f G then either Z ≤ Z(G) or Z ⋂ Z(G) = {1}. Classify all such groups". We have proved that abelian p-groups and p-groups with exponent p exhaust all regular p-groups satisfying this condition.en_US
dc.identifier.citationPylyavska Olha, The p-groups satisfying the condition : each cyclic subgroup is contained in the center or has a trivial intersection with it / O. Pylyavska, Ju. Shatohina // Наукові записки НаУКМА. - 2006. - Т. 51 : Фізико-математичні науки. - С. 3-4.uk
dc.identifier.urihttps://ekmair.ukma.edu.ua/handle/123456789/7597
dc.language.isoenen_US
dc.statuspublished earlieren_US
dc.subjectР-групиuk_UA
dc.subjectтривіальний перетинuk_UA
dc.subjectЗ.Янкuk_UA
dc.subjectВ.Чепулічуuk_UA
dc.subjectциклічна підгрупаuk_UA
dc.subjectp-groupen_US
dc.titleThe p-groups satisfying the condition: each cyclic subgroup is contained in the center or has a trivial intersection with iten_US
dc.title.alternativeР-групи, що задовольняють умови: кожна циклічна підгрупа або міститься у центрі групи, або має з ним тривіальний перетинuk_UA
dc.typeArticleuk_UA
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