@article{73c980a3a34d454e911f89fe22bb6ee5,
title = "Irreducible restrictions of representations of alternating groups in small characteristics: Reduction theorems",
abstract = "We study irreducible restrictions from modules over alternating groups to proper subgroups, and prove reduction results which substantially restrict the classes of subgroups and modules for which this is possible. This problem had been solved 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. This work fits into the Aschbacher-Scott program on maximal subgroups of finite classical groups.",
author = "Alexander Kleshchev and Lucia Morotti and Tiep, {Pham Huu}",
note = "Funding Information: Received by the editors September 25, 2019, and, in revised form, January 10, 2020. 2010 Mathematics Subject Classification. Primary 20C20, 20C30, 20E28. The first author was supported by the NSF grant DMS-1700905 and the DFG Mercator program through the University of Stuttgart. This work was also supported by the NSF grant DMS-1440140 and the Simons Foundation while all three authors were in residence at the MSRI during the Spring 2018 semester. 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. Publisher Copyright: {\textcopyright} 2020 American Mathematical Society",
year = "2020",
doi = "10.1090/ERT/538",
language = "English (US)",
volume = "24",
pages = "115--150",
journal = "Representation Theory",
issn = "1088-4165",
publisher = "American Mathematical Society",
number = "4",
}