On totally inert simple groups |
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| Authors: | Martyn R Dixon Martin J Evans Antonio Tortora |
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| Institution: | 1.Department of Mathematics,University of Alabama,Tuscaloosa,USA;2.Dipartimento di Matematica e Informatica,Università di Salerno,Fisciano (SA),Italy |
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| Abstract: | A subgroup H of a group G is inert if |H: H ∩ H
g
| is finite for all g ∈ G and a group G is totally inert if every subgroup H of G is inert. We investigate the structure of minimal normal subgroups of totally inert groups and show that infinite locally
graded simple groups cannot be totally inert. |
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