Antonio Montero

Antonio Montero

PhD in mathematics interested in symmetry properties of discrete objects

Proper locally spherical hypertopes of hyperbolic type

Published in Journal of Algebraic Combinatorics, 2021

Recommended citation:

A. Montero, A. I. Weiss. Proper locally spherical hypertopes of hyperbolic type, Journal of Algebraic Combinatorics (2021). https://doi.org/10.1007/s10801-021-01054-6.

Access paper here

Abstract: Given any irreducible Coxeter group C of hyperbolic type with nonlinear diagram and rank at least 4, whose maximal parabolic subgroups are finite, we construct an infinite family of locally spherical regular hypertopes of hyperbolic type whose Coxeter diagram is the same as that of C.

Bibtex:

 @Article{MonteroWeiss_2021_ProperLocallySpherical,
    author = "Montero, Antonio and Weiss, Asia Ivić",
    title = "Proper locally spherical hypertopes of hyperbolic type",
    doi = "10.1007/s10801-021-01054-6",
    issn = "1572-9192",
    language = "en",
    url = "https://doi.org/10.1007/s10801-021-01054-6",
    urldate = "2021-10-25",
    abstract = "Given any irreducible Coxeter group C of hyperbolic type with nonlinear diagram and rank at least 4, whose maximal parabolic subgroups are finite, we construct an infinite family of locally spherical regular hypertopes of hyperbolic type whose Coxeter diagram is the same as that of C.",
    file = ":MonteroWeiss\_2021\_ProperLocallySpherical.pdf:PDF",
    journal = "Journal of Algebraic Combinatorics",
    keywords = "research",
    month = "October",
    year = "2021"
}