@article{54c20b286c6445aa8482cf74a38d5967,
title = "Irreducible restrictions of representations of symmetric and alternating groups in small characteristics",
abstract = "Building on reduction theorems and dimension bounds for symmetric groups obtained in our earlier work, we classify the irreducible restrictions of representations of the symmetric and alternating groups to proper subgroups. Such a classification is known when the characteristic of the ground field is greater than 3, but the small characteristics cases require a substantially more delicate analysis and new ideas. Our results fit into the Aschbacher-Scott program on maximal subgroups of finite classical groups.",
keywords = "Alternating groups, Irreducible restrictions, Modular representations, Symmetric groups",
author = "Alexander Kleshchev and Lucia Morotti and Tiep, {Pham Huu}",
note = "Funding Information: The first author was supported by the NSF grant DMS-1700905 and the DFG Mercator program through the University of Stuttgart . The second author was supported by the DFG grant MO 3377/1-1 and the DFG Mercator program through the University of Stuttgart . The third author was supported by the NSF (grants DMS-1839351 and DMS-1840702 ), and the Joshua Barlaz Chair in Mathematics . This work was also supported by the NSF grant DMS-1440140 and Simons Foundation while all three authors were in residence at the MSRI during the Spring 2018 semester. Publisher Copyright: {\textcopyright} 2020 Elsevier Inc.",
year = "2020",
month = aug,
day = "5",
doi = "10.1016/j.aim.2020.107184",
language = "English (US)",
volume = "369",
journal = "Advances in Mathematics",
issn = "0001-8708",
publisher = "Academic Press Inc.",
}