We consider possibilties for pairs (G,H), where G is a group, H a subgroup, and G is the union of conjugates of H. For instance, if G is locally finite and H finite, then G=H; and the same holds without the hypothesis of local finiteness if H is isomorphic with the alternating group A_5.
Groups covered by conjugates of proper subgroups / Cutolo, Giovanni; H., Smith; J., Wiegold. - In: JOURNAL OF ALGEBRA. - ISSN 0021-8693. - STAMPA. - 293:1(2005), pp. 261-268. [10.1016/j.jalgebra.2005.02.024]
Groups covered by conjugates of proper subgroups
CUTOLO, GIOVANNI;
2005
Abstract
We consider possibilties for pairs (G,H), where G is a group, H a subgroup, and G is the union of conjugates of H. For instance, if G is locally finite and H finite, then G=H; and the same holds without the hypothesis of local finiteness if H is isomorphic with the alternating group A_5.File in questo prodotto:
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