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arXiv:2303.18041 [math.GR]AbstractReferencesReviewsResources

Isometries of wall-connected twin buildings

Sebastian Bischof, Bernhard Mühlherr

Published 2023-03-31Version 1

We introduce the notion of a wall-connected twin building and show that the local-to-global principle holds for these twin buildings. As each twin building satisfying Condition (co) (introduced in [7]) is wall-connected, we obtain a strengthening of the main result of [7] that covers also the thick irreducible affne twin buildings of rank at least 3.

Comments: 20 pages, preliminary version, to appear in "Advances in Geometry"
Categories: math.GR
Subjects: 20E42, 51E24
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