Maximal Subgroups of Exceptional Algebraic Groups

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Author :
Release : 1991
Genre : Mathematics
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Book Rating : 046/5 ( reviews)

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

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Author :
Release : 2004
Genre : Mathematics
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Book Rating : 827/5 ( reviews)

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.

Reductive Subgroups of Exceptional Algebraic Groups

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Author :
Release : 1996
Genre : Mathematics
Kind :
Book Rating : 618/5 ( reviews)

Reductive 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 Reductive Subgroups of Exceptional Algebraic Groups write by Martin W. Liebeck. This book was released on 1996. Reductive Subgroups of Exceptional Algebraic Groups available in PDF, EPUB and Kindle. The theory of simple algebraic groups is important in many areas of mathematics. The authors of this book investigate the subgroups of certain types of simple algebraic groups and obtain a complete description of all those subgroups which are themselves simple. This description is particularly useful in understanding centralizers of subgroups and restrictions of representations.

$A_1$ Subgroups of Exceptional Algebraic Groups

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Author :
Release : 1999
Genre : Mathematics
Kind :
Book Rating : 666/5 ( reviews)

$A_1$ 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 $A_1$ Subgroups of Exceptional Algebraic Groups write by Ross Lawther. This book was released on 1999. $A_1$ Subgroups of Exceptional Algebraic Groups available in PDF, EPUB and Kindle. This book is intended for graduate students and research mathematicians interested in group theory and genralizations

On Non-Generic Finite Subgroups of Exceptional Algebraic Groups

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Release : 2018-05-29
Genre : Mathematics
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Book Rating : 377/5 ( reviews)

On Non-Generic Finite 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 On Non-Generic Finite Subgroups of Exceptional Algebraic Groups write by Alastair J. Litterick. This book was released on 2018-05-29. On Non-Generic Finite Subgroups of Exceptional Algebraic Groups available in PDF, EPUB and Kindle. The study of finite subgroups of a simple algebraic group $G$ reduces in a sense to those which are almost simple. If an almost simple subgroup of $G$ has a socle which is not isomorphic to a group of Lie type in the underlying characteristic of $G$, then the subgroup is called non-generic. This paper considers non-generic subgroups of simple algebraic groups of exceptional type in arbitrary characteristic.