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arXiv · 2303.18041

Isometries of wall-connected twin buildings

Sebastian Bischof·Bernhard Mühlherr
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Abstract

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.

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Sebastian Bischof, Bernhard Mühlherr. 2023-03-31. Isometries of wall-connected twin buildings. https://arxiv.org/abs/2303.18041

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