On relatively free subsets of Lie groups
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- by Bernard R. Gelbaum PDF
- Proc. Amer. Math. Soc. 58 (1976), 301-305 Request permission
Abstract:
In an arbitrary neighborhood $U$ of the identity $e$ of a connected Lie group there is a subset $S$ of cardinality $\mathfrak {c}$ and relatively free , i.e., the only nontrivial equations $x_1^{{\varepsilon _1}}x_2^{{\varepsilon _2}} \cdots x_n^{{\varepsilon _n}} = e,{\varepsilon _i} = \pm 1$, satisfied by substitution for distinct symbols among the ${x_i}$ distinct elements of $S$ are equations that are identities throughout $G$.References
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Additional Information
- © Copyright 1976 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 58 (1976), 301-305
- MSC: Primary 22E15
- DOI: https://doi.org/10.1090/S0002-9939-1976-0412343-2
- MathSciNet review: 0412343