@article{8eb437a2c9cb467f9b184787ce418883,
title = "Subgroup Structure and Representations of Finite and Algebraic Groups",
abstract = "What can one say about maximal subgroups, or, more generally, the subgroup structure of simple, finite, or algebraic groups? In this survey, we will discuss how group representation theory helps us study this classical problem. These results have been applied to various problems, particularly in group theory, number theory, and algebraic geometry.",
keywords = "Classical groups, Maximal subgroups, Representation theory, Subgroup structure",
author = "Tiep, {Pham Huu}",
note = "Funding Information: This survey is based in part on the plenary address given by the author at the Eighth Congress of Vietnamese Mathematicians (Nha Trang, Vietnam, August 10–14, 2013), as well as the lectures given by the author at the Vietnam Institute of Advanced Study in Mathematics (July 2013) and the University of Southern California (March 2014). It is a pleasure to thank the National Science Foundation, the Vietnam Institute of Advanced Study in Mathematics, and the University of Southern California for partial support. Funding Information: The author gratefully acknowledges the support of the NSF (grant DMS-1201374) and the Simons Foundation Fellowship 305247. Publisher Copyright: {\textcopyright} 2015, Vietnam Academy of Science and Technology (VAST) and Springer Science+Business Media Singapore.",
year = "2015",
month = sep,
day = "1",
doi = "10.1007/s10013-015-0127-1",
language = "English (US)",
volume = "43",
pages = "501--513",
journal = "Vietnam Journal of Mathematics",
issn = "2305-221X",
publisher = "Springer Science + Business Media",
number = "3",
}