Knit Products of Some Groups and Their Applications

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dc.contributor.authorAtes, Firat
dc.contributor.authorCevik, A. Sinan
dc.date.accessioned2020-03-26T17:39:05Z
dc.date.available2020-03-26T17:39:05Z
dc.date.issued2009
dc.departmentSelçuk Üniversitesien_US
dc.description.abstractLet G be a group with subgroups A and K (not necessarily normal) such that G = AK and A boolean AND K = {1}. Then G is isomorphic to the knit product, that is, the "two-sided semidirect product" of K by A. We note that knit products coincide with Zappa-Szep products (see [18]). In this paper, as an application of [2, Lemma 3.16], we first define a presentation for the knit product G where A and K are finite cyclic subgroups. Then we give an example of this presentation by considering the (extended) Hecke groups. After that, by defining the Schur multiplier of G, we present sufficient conditions for the presentation of G to be efficient. In the final part of this paper, by examining the knit product of a free group of rank n by an infinite cyclic group, we give necessary and sufficient conditions for this special knit product to be subgroup separable.en_US
dc.identifier.endpage11en_US
dc.identifier.issn0041-8994en_US
dc.identifier.issn2240-2926en_US
dc.identifier.scopusqualityQ4en_US
dc.identifier.startpage1en_US
dc.identifier.urihttps://hdl.handle.net/20.500.12395/23644
dc.identifier.volume121en_US
dc.identifier.wosWOS:000268150300001en_US
dc.identifier.wosqualityQ4en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherC E D A M SPA CASA EDITR DOTT ANTONIO MILANIen_US
dc.relation.ispartofRENDICONTI DEL SEMINARIO MATEMATICO DELLA UNIVERSITA DI PADOVAen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.selcuk20240510_oaigen_US
dc.titleKnit Products of Some Groups and Their Applicationsen_US
dc.typeArticleen_US

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