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 of G 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 / Cutolo, Giovanni; E. I., Khukhro; J. C., Lennox; S., Rinauro; H., Smith; J., Wiegold. - In: BULLETIN OF THE LONDON MATHEMATICAL SOCIETY. - ISSN 0024-6093. - STAMPA. - 29:5(1997), pp. 563-570. [10.1112/S0024609397003068]
Locally finite groups all of whose subgroups are boundedly finite over their cores
CUTOLO, GIOVANNI;
1997
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 of G 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:
Non ci sono file associati a questo prodotto.
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
