‎let $g$ be a finite group and $d_2(g)$ denotes the probability ‎that $[x,y,y]=1$ for randomly chosen elements $x,y$ of $g$‎. ‎we ‎will obtain lower and upper bounds for $d_2(g)$ in the case where ‎the sets $e_g(x)={yin g:[y,x,x]=1}$ are subgroups of $g$ for ‎all $xin g$‎. ‎also the given examples illustrate that all the ‎bounds are sharp.

‎‎in this paper we determine all finite $2$-groups of‎ ‎class $2$ in which every automorphism of order $2$ leaving the frattini subgroup elementwise fixed is inner‎.

Cumhuriyet İlahiyat Dergisi’nin 25. cilt 2. sayısına hoşgeldiniz. Bu sayımızla birlikte 25 yılı geride bırakmanın gurur ve mutluluğunu yaşıyoruz. Dergisi sahip olduğu format yayın ilkeleri ile uluslararası ya-yın kriterlerini yerine getirerek hızlı bir ivme kazanmış bilim dünyasının dikkatini çek-meyi başarmıştır. bünyesinde geliştirilen İsnad Atıf Sistemi 2018, 2019 2020 yıllarında gerçekleşti...

OBJECTIVES This study is to investigate the relationship between 25-Hydroxyvitamin D (25-OH-D) and pancreatic islet β cell function under different glucose tolerance statuses in China. METHODOLOGY Totally, 180 patients with type 2 diabetes mellitus (DM group), 178 patients with impaired fasting glucose/impaired glucose tolerance (IFG/IGT group), and 160 normal control subjects (NGT group) wer...

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