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Iskovskikh Seminar
October 17, 2024 18:00, Moscow, Steklov Mathematical Institute, room 530
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The restriction on ranks of groups effectively acting on a topological
manifold
V. Rozhdestvenskii |
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This page: | 32 |
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Abstract:
Let $G$ be a finite group acting effectively on a topological manifold $M$ of
dimension $n$. In 1963 L. N. Mann and J. S. Su proved that if $G=(Z/pZ)^k$ and $M$
is compact, then $k$ is bounded above by a constant depending only on $n$ and
dimensions of $Z/pZ$-homology groups of $M$. In 2021 B. Csikós, I. Mundet I Riera,
L. Puber and E. Szabó proved Mann–Su theorem in general by bounding the rank
of $G$ above by a constant depending only on n and ranks of $Z$-homology groups of
$M$. In the talk we will discuss the above results.
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