| Yazarlar |
Raimundo Bastos
|
Doç. Dr. Nil MANSUROĞLU
Kırşehir Ahi Evran Üniversitesi, Türkiye |
|
Antonio Tortora
|
|
Maria Tota
|
| Özet |
| We prove that a residually finite group G satisfying an identity and generated by a commutator closed set X of bounded left Engel elements is locally nilpotent. We also extend such a result to locally graded groups, provided that X is a normal set. As an immediate consequence, we obtain that a locally graded group satisfying an identity, all of whose elements are bounded left Engel, is locally nilpotent. |
| Anahtar Kelimeler |
| Engel element | Residually finite group | Restricted Burnside problem |
| Makale Türü | Özgün Makale |
| Makale Alt Türü | SSCI, AHCI, SCI, SCI-Exp dergilerinde yayımlanan tam makale |
| Dergi Adı | ARCHIV DER MATHEMATIK |
| Dergi ISSN | 0003-889X |
| Dergi Tarandığı Indeksler | SCI-Expanded |
| Makale Dili | İngilizce |
| Basım Tarihi | 04-2018 |
| Cilt No | 110 |
| Sayı | 4 |
| Sayfalar | 311 / 318 |
| Doi Numarası | 10.1007/s00013-017-1137-x |
| Atıf Sayıları | |
| WoS | 5 |
| SCOPUS | 5 |
| Google Scholar | 6 |
