On the probability of being a 2-Engel group
Let $G$ be a finite group and $d_2(G)$ denotes the probabilitythat $[x,y,y]=1$ for randomly chosen elements $x,y$ of $G$. Wewill obtain lower and upper bounds for $d_2(G)$ in the case wherethe sets $E_G(x)={yin G:[y,x,x]=1}$ are subgroups of $G$ forall $xin G$. Also the given examples illus...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
University of Isfahan
2013-12-01
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| Series: | International Journal of Group Theory |
| Subjects: | |
| Online Access: | http://www.theoryofgroups.ir/?_action=showPDF&article=2836&_ob=8c5fc82980e41cf440902a6770e2cb2e&fileName=full_text.pdf. |