| dc.contributor.author | Alp, Murat | |
| dc.date.accessioned | 13.07.201910:49:13 | |
| dc.date.accessioned | 2019-07-13T16:26:19Z | |
| dc.date.available | 13.07.201910:49:13 | |
| dc.date.available | 2019-07-13T16:26:19Z | |
| dc.date.issued | 2001 | |
| dc.identifier.issn | 1300-0098 | |
| dc.identifier.uri | https://trdizin.gov.tr/publication/paper/detail/TXpNMU5qazU= | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12438/643 | |
| dc.description.abstract | In this paper we define the pullback $cat^1$-group and show that this Pullback has a right adjoint which is the induced $cat^1$-group. Later we show that this right adjoint is a pushout of category of cat1-groups. We calculate the Peiffer subgroups to find a finite group of the source of induced cat1-groups. The generating set of Peiffer subgroups are also given in this paper. All results are corrected by a GAP[13] program package in [4]. This paper also contains the some computational examples which are the calculation-induced cat1-group and comparative times between the induced crossed modules and induced cat1-groups. | en_US |
| dc.description.abstract | | en_US |
| dc.language.iso | eng | en_US |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Matematik | en_US |
| dc.subject | Pullback | en_US |
| dc.subject | Crossed Module | en_US |
| dc.subject | Cat1-Group | en_US |
| dc.subject | Induced Crossed Modules | en_US |
| dc.subject | Induced Cat1-Groups | en_US |
| dc.subject | Peiffer Commutators | en_US |
| dc.subject | Cocomplete | en_US |
| dc.subject | GAP | en_US |
| dc.title | Induced cat1-groups | en_US |
| dc.type | article | en_US |
| dc.relation.journal | Turkish Journal of Mathematics | en_US |
| dc.department | Kütahya Dumlupınar Üniversitesi | en_US |
| dc.identifier.volume | 25 | en_US |
| dc.identifier.issue | 2 | en_US |
| dc.identifier.startpage | 245 | en_US |
| dc.identifier.endpage | 261 | en_US |
| dc.relation.publicationcategory | Diğer | en_US] |
