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arXiv · 1401.0491

Fixed points of $p$-toral groups acting on partition complexes

Julia E. Bergner·Ruth Joachimi·Kathryn Lesh·Vesna Stojanoska·Kirsten Wickelgren
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Abstract

We consider the action of $p$-toral subgroups of $U(n)$ on the unitary partition complex $\mathcal L_n$. We show that if $H\subseteq U(n)$ is $p$-toral and has noncontractible fixed points on $\mathcal L_n$, then the image of $H$ in the projective unitary group $U(n)/S^{1}$ is an elementary abelian $p$-group.

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Julia E. Bergner, Ruth Joachimi, Kathryn Lesh, Vesna Stojanoska, Kirsten Wickelgren. 2014-04-28. Fixed points of $p$-toral groups acting on partition complexes. https://doi.org/10.1090/conm%2F641

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