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- W4298153297 abstract "The main goal of this paper is proving the fixed point theorem for finite groups acting on weakly systolic complexes. As corollaries we obtain results concerning classifying spaces for the family of finite subgroups of weakly systolic groups and conjugacy classes of finite subgroups. As immediate consequences we get new results on systolic complexes and groups. The fixed point theorem is proved by using a graph-theoretical tool - dismantlability. In particular we show that 1-skeleta of weakly systolic complexes, i.e. weakly bridged graphs, are dismantlable. On the way we show numerous characterizations of weakly bridged graphs and weakly systolic complexes." @default.
- W4298153297 created "2022-10-01" @default.
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- W4298153297 date "2009-10-28" @default.
- W4298153297 modified "2023-09-27" @default.
- W4298153297 title "Dismantlability of weakly systolic complexes and applications" @default.
- W4298153297 doi "https://doi.org/10.48550/arxiv.0910.5444" @default.
- W4298153297 hasPublicationYear "2009" @default.
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