Finite nilpotent groups coincide with their $2$-closures in all of their faithful permutation representations

Alireza Abdollahi; Majid Arezoomand

arxiv: 1611.01634 · v1 · pith:JIALW4M3new · submitted 2016-11-05 · 🧮 math.GR

Finite nilpotent groups coincide with their 2-closures in all of their faithful permutation representations

Alireza Abdollahi , Majid Arezoomand This is my paper

classification 🧮 math.GR

keywords groupcyclicfinitenilpotentclosedclosurescoincidedirect

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Here we show that a finite nilpotent group is 2-closed if and only if it is either cyclic or a direct product of a generalized quaternion group with a cyclic group of odd order.

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Finite nilpotent groups coincide with their 2-closures in all of their faithful permutation representations

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