Generalized rational identities of subnormal subgroups of skew fields

Chiba, Katsuo

doi:10.1090/S0002-9939-96-03127-9

Generalized rational identities of subnormal subgroups of skew fields
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by Katsuo Chiba

Proc. Amer. Math. Soc. 124 (1996), 1649-1653

DOI: https://doi.org/10.1090/S0002-9939-96-03127-9

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Abstract:

Let $D$ be a skew field with infinite center $K$ such that $[D:K]=\infty$, and let $H$ be a non-central subnormal subgroup of the multiplicative group $D^*=D\backslash \{0\}$ of $D$. Then there are no non-trivial generalized rational identities of $H$. This generalizes a theorem proved by Makar-Limanov.

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