Version 2 2024-03-12, 13:01
Version 1 2023-10-18, 09:06
journal contribution
posted on 2024-03-12, 13:01 authored by G. Cutolo, Evgeny Khukhro, J. C. Lennox, J. Wiegold, S. Rinauro, H. Smith<p>Forna positive integer, a groupGis calledcore-nifH/H Ghas order at mostnfor every subgroupHofG(whereH Gis the normal core ofH, the largest normal subgroup ofGcontained inH). It is proved that a finite core-pp-groupGhas a normal abelian subgroup whose index inGis at mostp 2ifpâ? 2, which is the best possible bound, and at most 2 6ifp=2. © 1997 Academic Press.</p>
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