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The minimal dimension of a sphere with an equivariant embedding of the bouquet of $g$ circles is $2g-1$

Published 31 Mar 2022 in math.GT and math.CO | (2203.16830v1)

Abstract: To embed the bouquet of $g$ circles $B_g$ into the $n$-sphere $Sn$ so that its full symmetry group action extends to an orthogonal actions on $Sn$, the minimal $n$ is $2g-1$. This answers a question raised by B. Zimmermann.

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