For n a positive integer, a group G is called core-n if H/H_G has order at most n for every subgroup H of G (where H_G is the normal core of H, the largest normal subgroup contained in H). It is proved that a locally finite core-n group G has an abelian subgroup whose index in G is bounded in terms of n.
Locally finite groups all of whose subgroups are boundedly finite over their cores
RINAURO, Silvana;
1997-01-01
Abstract
For n a positive integer, a group G is called core-n if H/H_G has order at most n for every subgroup H of G (where H_G is the normal core of H, the largest normal subgroup contained in H). It is proved that a locally finite core-n group G has an abelian subgroup whose index in G is bounded in terms of n.File in questo prodotto:
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