Abstract
Let Δ p (Γ) denote the poset of elementary abelian p-subgroups of Γ, and let Γ g denote the mapping class group of genus g. We give a complete description of the connectivity of the simplicial complex |Δ p (Γ g )|/Γ g for any prime p and integer g.
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© 1996 Birkhäuser Verlag
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Xia, Y. (1996). On the connectivity of posets in the mapping class group. In: Broto, C., Casacuberta, C., Mislin, G. (eds) Algebraic Topology: New Trends in Localization and Periodicity. Progress in Mathematics, vol 136. Birkhäuser Basel. https://doi.org/10.1007/978-3-0348-9018-2_29
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DOI: https://doi.org/10.1007/978-3-0348-9018-2_29
Publisher Name: Birkhäuser Basel
Print ISBN: 978-3-0348-9869-0
Online ISBN: 978-3-0348-9018-2
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