On residual connectedness in chiral geometries
Algebraic Combinatorics, Volume 4 (2021) no. 3, pp. 491-499.

We show that a chiral coset geometry constructed from a C + -group necessarily satisfies residual connectedness and is therefore a hypertope.

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DOI: 10.5802/alco.162
Classification: 51E24, 52B11, 20F05
Keywords: coset geometries, hypertopes, chirality, $C^+$-groups, residual connectedness.

Leemans, Dimitri 1; Tranchida, Philippe 2

1 Université Libre de Bruxelles Département de Mathématique C.P.216 - Algèbre et Combinatoire Boulevard du Triomphe 1050 Brussels, Belgium
2 Department of Mathematical Sciences KAIST, 291 Daehak-ro Yuseong-gu Daejeon, 34141, South Korea
License: CC-BY 4.0
Copyrights: The authors retain unrestricted copyrights and publishing rights
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Leemans, Dimitri; Tranchida, Philippe. On residual connectedness in chiral geometries. Algebraic Combinatorics, Volume 4 (2021) no. 3, pp. 491-499. doi : 10.5802/alco.162. https://alco.centre-mersenne.org/articles/10.5802/alco.162/

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