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math.GR2026
The Left-Nilpotent Residual and Its Supplements in Finite Skew Braces
Gülin Ercan, İsmail Ş. Güloğlu
Let be a finite skew brace, and let be the final term of its left series. We introduce the left-nilpotent residual $\RL(X)$ and prove that $ \RL(X)=\Id_X\bigl(L_\…
math.GR2026
Sylow theory and the nilpotency class of left nilpotent skew braces
Gülin Ercan, Şükran Gül, İsmail Ş. Güloğlu +1
Let be a finite left nilpotent skew brace and let be a set of primes. We show that every Hall -subgroup of the multiplicative group is a Hall -subbrace of…
math.GR2021
Good action of a nilpotent group with regular orbits
Gülin Ercan, İsmail Ş. Güloğlu
Suppose that is a finite nilpotent group of odd order acting good in the sense of \cite{EGJ} on the group of odd order. Under some additional assumptions we prove that the…