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- W1805197905 abstract "We prove that every noncyclic subgroup of a free $m$-generator Burnside group $B(m,n)$ of odd exponent $n gg 1$ contains a subgroup $H$ isomorphic to a free Burnside group $B(infty,n)$ of exponent $n$ and countably infinite rank such that, for every normal subgroup $K$ of $H$, the normal closure $langle K rangle^{B(m,n)}$ of $K$ in $B(m,n)$ meets $H$ in $K$. This implies that every noncyclic subgroup of $B(m,n)$ is $operatorname{SQ}$-universal in the class of groups of exponent $n$." @default.
- W1805197905 created "2016-06-24" @default.
- W1805197905 creator A5088158552 @default.
- W1805197905 date "2003-03-01" @default.
- W1805197905 modified "2023-10-18" @default.
- W1805197905 title "On subgroups of free Burnside groups of large odd exponent" @default.
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- W1805197905 doi "https://doi.org/10.1215/ijm/1258488155" @default.
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