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The monodromy group of a truncated simplex

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Abstract

In this paper we investigate the monodromy groups of the truncated simplices of all possible ranks and investigate related structures. In particular, we demonstrate that the monodromy group of a truncated simplex is the direct product of symmetric groups.

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Acknowledgments

We thank the referees for suggesting several improvements. Thanks go as well to Egon Schulte for pointing out some of the remarkable ways in which ‘our’ polytope \({{\mathcal {R}}}_n\) is a reincarnation of objects found in [1, 2, 15] and perhaps elsewhere.

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Authors and Affiliations

  1. Department of Mathematics and Statistics, University of Alaska Fairbanks, PO Box 756660, Fairbanks, AK, 99775-6660, USA

    Leah Wrenn Berman & Gordon Ian Williams

  2. Department of Mathematics and Statistics, University of New Brunswick, PO Box 4400, Fredericton, NB, E3B 5A3, Canada

    Barry Monson

  3. Instituto de Matemáticas, Unidad Juriquilla, Universidad Nacional Autónoma de México (UNAM), San Isidro 303, Col. Villas del Mesón, C.P. 76230, Juriquilla, Quert́aro, Mexico

    Deborah Oliveros

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  1. Leah Wrenn Berman
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  2. Barry Monson
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  3. Deborah Oliveros
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  4. Gordon Ian Williams
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Corresponding author

Correspondence to Gordon Ian Williams.

Additional information

The work of Leah Wrenn Berman was supported by a grant from the Simons Foundation (#S15060 to L. Berman). The work of Barry Monson was supported by NSERC of Canada Grant #4818. The work of Deborah Oliveros was supported by PAPIIT: IN101912 and CONACyT 166306. The work of Gordon Williams was supported by CONACyT 166306.

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Berman, L.W., Monson, B., Oliveros, D. et al. The monodromy group of a truncated simplex. J Algebr Comb 42, 745–761 (2015). https://doi.org/10.1007/s10801-015-0600-7

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  • DOI: https://doi.org/10.1007/s10801-015-0600-7

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