Sonlu Kanonik Hipergrupların SS-Tümlenmiş Althipergrupları Üzerine

Öz

Bu çalışmada literatürde var olan sonlu grupların SS-tümlenmiş altgrupları kavramı, sonlu kanonik hipergruplarda yorumlanmıştır. SS-tümlenmiş her althipergrubun althipergrubunda da ss-tümlenmiş olduğu görülmüştür. Hiperyapılarda çarpıcı bir sonuç olarak SS-tümlenmiş bir hipergrubun güçlü normal althipergruba göre her bölüm hipergrubunun SS-tümlenmiş olduğu ispatlanmıştır. Hipercebirsel yapı özelliklerinin çözülebilir hipergruplarda korunduğu görülmüştür. Böylece SS-tümleyen althipergruba sahip olma özelliği çözülebilir hipergruplarda karakterize edilmiştir.

Anahtar Kelimeler

• Sonlu Kanonik Hipergrup
• Güçlü Normal Althipergrup
• ÇözülebilirAlthipergrup
• SS-Tümlenmiş Althipergrup

On SS-Supplemented Subhypergroups of Finite Canonical Hypergroups

Öz

In this study, the concept of SS-supplemented subgroups of finite groups existing in the literature is interpreted in finite canonical hypergroups. It has been observed that every SS-supplemented subhypergroup is also SS-supplemented in its subhypergroup. As a striking result in hyperstructures, it has been proven that every factor hypergroup of an SS-supplemented hypergroup is SS-supplemented compared to the strong normal subhypergroup. It has been observed that hyperalgebraic structure properties are preserved in solvable hypergroups. Thus, the property of having an SS-supplemented subhypergroup has been characterized in solvable hypergroups.

Anahtar Kelimeler

• Finite Canonical Hypergroup
• Strong Normal Subhypergroup
• Solvable Hypergroup
• SS-Supplemented Subhypergroup

Kaynakça

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