Totally inert groups
V. V. Belyaev, M. Kuzucuoğlu, E. Seçkin (1999)
Rendiconti del Seminario Matematico della Università di Padova
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V. V. Belyaev, M. Kuzucuoğlu, E. Seçkin (1999)
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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.
Abels, Herbert, Alperin, Roger C. (2009)
The New York Journal of Mathematics [electronic only]
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Arad, Zvi, Herfort, Wolfgang (2005)
Journal of Lie Theory
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Brunella Bruno, Richard E. Phillips (1983)
Rendiconti del Seminario Matematico della Università di Padova
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Compositio Mathematica
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