Finite Soluble Group Generated by the Conjugacy Class of an Involution |
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| Authors: | Abdullah Al-Roqi |
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| Institution: | 1. Department of Mathematics , King Abdulaziz University , Jeddah , Saudi Arabia aalroqi@kau.edu.sa |
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| Abstract: | Let G be a finite group and P a subgroup of order 2. We study in this article the structures of the soluble subgroup of G that is generated by three conjugates of P. We use the results we proved about the soluble subgroups that are generated by three conjugates of P to find a soluble analogue of the Baer–Suzuki Theorem in the case prime 2. |
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| Keywords: | Soluble groups |
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