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18.76 (2014)

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Let $A$ be a division ring, $G$ a subgroup of the multiplicative group of $A$, and $E$ an extension of the additive group of $A$ by $G$ such that $G$ acts by multiplication in $A$. Is it true that $E$ splits? This is true if $G$ is finite.

Contributor: E. A. Palyutin

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