The Maximal Subgroups of Classical Algebraic Groups - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook The Maximal Subgroups of Classical Algebraic Groups write by Gary M. Seitz. This book was released on 1987. The Maximal Subgroups of Classical Algebraic Groups available in PDF, EPUB and Kindle. Let [italic]V be a finite dimensional vector space over an algebraically closed field of characteristic p [greater than] 0 and let G = SL([italic]V), Sp([italic]V), or SO([italic]V). The main result describes all closed, connected, overgroups of [italic]X in SL([italic]V), assuming [italic]X is a closed, connected, irreducible subgroup of G.
Maximal Subgroups of Exceptional Algebraic Groups
Maximal Subgroups of Exceptional Algebraic Groups - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Maximal Subgroups of Exceptional Algebraic Groups write by Gary M. Seitz. This book was released on 1991. Maximal Subgroups of Exceptional Algebraic Groups available in PDF, EPUB and Kindle. Let [italic]G be a simple algebraic group of exceptional type over an algebraically closed field of characteristic [italic]p. The subgroups of [italic]G maximal with respect to being closed and connected are determined, although mild restrictions on [italic]p are required in dealing with certain simple subgroups of low rank. For [italic]p = 0 we recover the results of Dynkin.
The Maximal Subgroups of Positive Dimension in Exceptional Algebraic Groups
The Maximal Subgroups of Positive Dimension in Exceptional Algebraic Groups - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook The Maximal Subgroups of Positive Dimension in Exceptional Algebraic Groups write by Martin W. Liebeck. This book was released on 2004. The Maximal Subgroups of Positive Dimension in Exceptional Algebraic Groups available in PDF, EPUB and Kindle. Intends to complete the determination of the maximal subgroups of positive dimension in simple algebraic groups of exceptional type over algebraically closed fields. This title follows work of Dynkin, who solved the problem in characteristic zero, and Seitz who did likewise over fields whose characteristic is not too small.
The Maximal Subgroups of the Low-Dimensional Finite Classical Groups
The Maximal Subgroups of the Low-Dimensional Finite Classical Groups - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook The Maximal Subgroups of the Low-Dimensional Finite Classical Groups write by John N. Bray. This book was released on 2013-07-25. The Maximal Subgroups of the Low-Dimensional Finite Classical Groups available in PDF, EPUB and Kindle. This book classifies the maximal subgroups of the almost simple finite classical groups in dimension up to 12; it also describes the maximal subgroups of the almost simple finite exceptional groups with socle one of Sz(q), G2(q), 2G2(q) or 3D4(q). Theoretical and computational tools are used throughout, with downloadable Magma code provided. The exposition contains a wealth of information on the structure and action of the geometric subgroups of classical groups, but the reader will also encounter methods for analysing the structure and maximality of almost simple subgroups of almost simple groups. Additionally, this book contains detailed information on using Magma to calculate with representations over number fields and finite fields. Featured within are previously unseen results and over 80 tables describing the maximal subgroups, making this volume an essential reference for researchers. It also functions as a graduate-level textbook on finite simple groups, computational group theory and representation theory.
Restricting Representations of Classical Algebraic Groups to Maximal Subgroups
Restricting Representations of Classical Algebraic Groups to Maximal Subgroups - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Restricting Representations of Classical Algebraic Groups to Maximal Subgroups write by . This book was released on 2015. Restricting Representations of Classical Algebraic Groups to Maximal Subgroups available in PDF, EPUB and Kindle. Mots-clés de l'auteur: algebraic groups ; classical groups ; representation theory ; weight multiplicities ; irreducible modules ; composition factors ; restriction rules.
