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- W2974192571 abstract "For all sufficiently large odd integers $n$, the following version of Higman's embedding theorem is proved in the variety ${cal B}_n$ of all groups satisfying the identity $x^n=1$. A finitely generated group $G$ from ${cal B}_n$ has a presentation $G=langle Amid Rrangle$ with a finite set of generators $A$ and a recursively enumerable set $R$ of defining relations if and only if it is a subgroup of a group $H$ finitely presented in the variety ${cal B}_n$. It follows that there is a 'universal' $2$-generated finitely presented in ${cal B}_n$ group containing isomorphic copies of all finitely presented in ${cal B}_n$ groups as subgroups." @default.
- W2974192571 created "2019-09-26" @default.
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- W2974192571 date "2019-09-23" @default.
- W2974192571 modified "2023-09-27" @default.
- W2974192571 title "Subgroups of groups finitely presented in Burnside varieties" @default.
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