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- W4285710061 abstract "Invariable generation is a topic that has predominantly been studied for finite groups. In 2014, Kantor, Lubotzky, and Shalev produced extensive tools for investigating invariable generation for infinite groups. Since their paper, various authors have investigated the property for particular infinite groups or families of infinite groups. A group is invariably generated by a subset $S$ if replacing each element of $S$ with any of its conjugates still results in a generating set for $G$. In this paper we investigate how this property behaves with respect to wreath products. Our main work is to deal with the case where the base of $Gwr_X H$ is not invariably generated. We see both positive and negative results here depending on $H$ and its action on $X$." @default.
- W4285710061 created "2022-07-18" @default.
- W4285710061 creator A5046416826 @default.
- W4285710061 date "2020-01-14" @default.
- W4285710061 modified "2023-09-26" @default.
- W4285710061 title "Invariable generation and wreath products" @default.
- W4285710061 doi "https://doi.org/10.48550/arxiv.2001.04748" @default.
- W4285710061 hasPublicationYear "2020" @default.
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