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Free symmetric and unitary pairs in division rings infinite-dimensional over their centers
Published 19 Dec 2013 in math.RA | (1312.5668v2)
Abstract: Let $D$ be a division ring infinite-dimensional over its center $k$ with multiplicative group $D{\times}$. We show that if $D$ belongs to certain families, there exist free symmetric and unitary pairs in $D{\times}$ with respect to a $k$-involution on $D$.
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