@article{3a9cf907209d4dac805e10c31c3a833c,
title = "Brauer correspondent blocks with one simple module",
abstract = "One of the main problems in representation theory is to understand the exact relationship between Brauer corresponding blocks of finite groups. The case where the local correspondent has a unique simple module seems key. We characterize this situation for the principal p-blocks where p is odd.",
author = "Gabriel Navarro and Tiep, {Pham Huu} and Carolina Vallejo",
note = "Funding Information: Received by the editors June 25, 2016, and, in revised form, May 20, 2017. 2010 Mathematics Subject Classification. Primary 20C20; Secondary 20C15. The research of the first and third authors was partially supported by the Spanish Ministerio de Educaci{\'o}n y Ciencia proyecto MTM2016-76196-P and Prometeo Generalitat Valenciana. The second author gratefully acknowledges the support of the NSF (grants DMS-1839351 and DMS-1840702). The third author acknowledges financial support from the Spanish Ministry of Economy and Competitiveness, through the “Severo Ochoa Programme for Centres of Excellence in R&D” (SEV-2015-0554). Publisher Copyright: {\textcopyright}2018 American Mathematical Society.",
year = "2019",
month = feb,
day = "1",
doi = "10.1090/tran/7458",
language = "English (US)",
volume = "371",
pages = "903--922",
journal = "Transactions of the American Mathematical Society",
issn = "0002-9947",
publisher = "American Mathematical Society",
number = "2",
}