| Yazarlar (3) |
Prof. Dr. Akın Osman ATAGÜN
Kırşehir Ahi Evran Üniversitesi, Türkiye |
Aslıhan Sezgin
Amasya Üniversitesi, Türkiye |
Arş. Gör. Savcı Rahman ARGÜN
Kırşehir Ahi Evran Üniversitesi, Türkiye |
| Özet |
| In classical algebra, p-groups, conjugate groups and Sylow Theorems are of great importance to understand the arbitrary finite group structures. Our interest, in this paper, is to transfer these important structures to soft group theory. First, we define soft prime group, conjugate group and soft conjugate group. Then, we examine their properties under group mappings, group homomorphisms and soft homomorphisms. Also, as a strong case of conjugate group, strong conjugate group is defined and the relationship between the conjugation and strong conjugation is derived and it is showed that strong conjugation is an equivalence relation on the set of all soft groups over G with the parameter set A. Additionally, we convey Cauchy’s Theorem to soft groups. Moreover, in order to understand the structure of an arbitrary finite soft group, we define soft Sylow p-subgroup and obtain the corresponding Sylow Theorems in soft group theory with this concept. By this way, we bring a new aspect to soft group theory by expanding the theory with the fundamental concepts. |
| Anahtar Kelimeler |
| conjugate group | soft conjugate group | soft group | soft prime group | Soft set | soft Sylow p-group | strong conjugate group |
| Makale Türü | Özgün Makale |
| Makale Alt Türü | ESCI dergilerinde yayımlanan tam makale |
| Dergi Adı | Boletim da Sociedade Paranaense de Matemática |
| Dergi ISSN | 0037-8712 Wos Dergi Scopus Dergi |
| Dergi Tarandığı Indeksler | ESCI |
| Makale Dili | İngilizce |
| Basım Tarihi | 01-2025 |
| Cilt No | 43 |
| Sayı | 1 |
| Sayfalar | 1 / 13 |
| Doi Numarası | 10.5269/bspm.63033 |
| Makale Linki | https://doi.org/10.5269/bspm.63033 |
| Atıf Sayıları |
