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G. Cutolo, H. Smith and J. Wiegold
Groups covered by conjugates of proper subgroups
J. Algebra, 293, (2005), pp. 261–268.
doi: 10.1016/j.jalgebra.2005.02.024
MathSciNet Zentralblatt Abstract Full Text
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 $\mathbb A_5$.
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