Positivity of Sylow branching coefficients of symmetric groups

Stacey Law

doi:10.1016/j.jpaa.2023.107355

Positivity of Sylow branching coefficients of symmetric groups

Stacey Law^*

^*Corresponding author for this work

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

In this article we investigate the positivity of Sylow branching coefficients for symmetric groups when p = 3. In particular, we complete the discussion begun by Giannelli and the author in Giannelli and Law (2018) [4] and developed in Giannelli and Law (2021) [5] concerning the case of odd primes.

Original language	English
Article number	107355
Number of pages	44
Journal	Journal of Pure and Applied Algebra
Volume	227
Issue number	8
Early online date	9 Feb 2023
DOIs	https://doi.org/10.1016/j.jpaa.2023.107355
Publication status	Published - Aug 2023

Bibliographical note

Acknowledgements:
The author is grateful to the anonymous referee for their many detailed and helpful comments and suggestions. The author would also like to thank Karin Erdmann for her support and hospitality and the University of Oxford for hosting a London Mathematical Society Early Career Fellowship during which part of this work was done.

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Cite this

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title = "Positivity of Sylow branching coefficients of symmetric groups",

abstract = "In this article we investigate the positivity of Sylow branching coefficients for symmetric groups when p = 3. In particular, we complete the discussion begun by Giannelli and the author in Giannelli and Law (2018) [4] and developed in Giannelli and Law (2021) [5] concerning the case of odd primes.",

author = "Stacey Law",

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AB - In this article we investigate the positivity of Sylow branching coefficients for symmetric groups when p = 3. In particular, we complete the discussion begun by Giannelli and the author in Giannelli and Law (2018) [4] and developed in Giannelli and Law (2021) [5] concerning the case of odd primes.

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Positivity of Sylow branching coefficients of symmetric groups

Abstract

Bibliographical note

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