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no. 3
On residual connectedness in chiral geometries
Leemans, Dimitri1; Tranchida, Philippe2
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
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.

Received:
Revised:
Accepted:
Published online:
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

[1] Buekenhout, Francis; Cohen, Arjeh M. Diagram geometry, Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge. A Series of Modern Surveys in Mathematics [Results in Mathematics and Related Areas. 3rd Series. A Series of Modern Surveys in Mathematics], 57, Springer, Heidelberg, 2013, xiv+592 pages (Related to classical groups and buildings) | Zbl | MR | DOI

[2] Catalano, Domenico; Fernandes, M. Elisa; Hubard, Isabel; Leemans, Dimitri Hypertopes with tetrahedral diagram, Electron. J. Combin., Volume 25 (2018) no. 3, Paper no. Paper 3.22, 21 pages | Zbl | MR

[3] Ens, Eric Rank 4 toroidal hypertopes, Ars Math. Contemp., Volume 15 (2018) no. 1, pp. 67-79 | Zbl | MR | DOI

[4] Fernandes, Maria Elisa; Leemans, Dimitri C-groups of high rank for the symmetric groups, J. Algebra, Volume 508 (2018), pp. 196-218 | Zbl | MR | DOI

[5] Fernandes, Maria Elisa; Leemans, Dimitri; Piedade, Claudio A.; Weiss, Asia Ivić Two families of locally toroidal regular 4-hypertopes arising from toroids (to appear in Contemp. Math.)

[6] Fernandes, Maria Elisa; Leemans, Dimitri; Weiss, Asia Ivić Highly symmetric hypertopes, Aequationes Math., Volume 90 (2016) no. 5, pp. 1045-1067 | Zbl | MR | DOI

[7] Fernandes, Maria Elisa; Leemans, Dimitri; Weiss, Asia Ivić An exploration of locally spherical regular hypertopes, Discrete Comput. Geom., Volume 64 (2020) no. 2, pp. 519-534 | Zbl | MR | DOI

[8] Hou, Dong-Dong; Feng, Yan-Quan; Leemans, Dimitri Existence of regular 3-hypertopes with 2 n chambers, Discrete Math., Volume 342 (2019) no. 6, pp. 1857-1863 | Zbl | MR | DOI

[9] Tits, Jacques Sur les analogues algébriques des groupes semi-simples complexes, Colloque d’algèbre supérieure, tenu à Bruxelles du 19 au 22 décembre 1956 (Centre Belge de Recherches Mathématiques), Établissements Ceuterick, Louvain; Librairie Gauthier-Villars, Paris, 1957, pp. 261-289 | Zbl | MR

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