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eBook Irreducible Subgroups of Exceptional Algebraic Groups (Memoirs of the American Mathematical Society) ePub

eBook Irreducible Subgroups of Exceptional Algebraic Groups (Memoirs of the American Mathematical Society) ePub

by Donna M. Testerman

  • ISBN: 0821824538
  • Category: Science and Mathematics
  • Subcategory: Other
  • Author: Donna M. Testerman
  • Language: English
  • Publisher: Amer Mathematical Society (November 1, 1988)
  • Pages: 190
  • ePub book: 1414 kb
  • Fb2 book: 1290 kb
  • Other: lrf docx doc lit
  • Rating: 4.3
  • Votes: 162

Description

Irreducible Subgroups of Exceptional Algebraic Groups. Author(s) (Product display): Donna M. Testerman.

Irreducible Subgroups of Exceptional Algebraic Groups. Base Product Code Keyword List: memo; MEMO; memo/75; MEMO/75; memo-75; MEMO-75; memo/75/390; MEMO/75/390; memo-75-390; MEMO-75-390. Online Product Code: MEMO/75/390. Title (HTML): Irreducible Subgroups of Exceptional Algebraic Groups. Book Series Name: Memoirs of the American Mathematical Society. Publication Month and Year: 2013-03-17.

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Article in Memoirs of the American Mathematical Society 802(802) · May 2004 with 13 Reads. In this paper we complete the determination of the maximal subgroups of positive dimension in simple algebraic groups of exceptional type over algebraically closed fields. How we measure 'reads'. This follows work of Dynkin, who solved the problem in characteristic zero, and Seitz who did likewise over fields whose characteristic is not too small. A number of consequences are obtained.

American Mathematical Society: Memoirs of the American Mathematical Society. Book 390. Donna M. Testerman1 January 1988. Let Y be a simply-connected, simple algebraic group of exceptional type, defined over an algebraically closed field k of prime characteristic p 0. The main result describes all semisimple, closed connected subgroups of Y which act irreducibly on some rational kY module V. This extends work of Dynkin who obtained a similar classification for.

Other readers will always be interested in your opinion of the books you've read. Noncommutative Microlocal Analysis, Part 1 (Memoirs of the American Mathematical Society). Whether you've loved the book or not, if you give your honest and detailed thoughts then people will find new books that are right for them. 1. The Lebesque-Nikodym Theorem for Vector Valued Radon Measures.

M M. W. Liebeck and G. Seitz, The maximal subgroups of positive dimension in exceptional algebraic groups, Memoirs of the American Mathematical Society 16. .

Larsen and R. Pink, Finite subgroups of algebraic groups, Journal of the American Mathematical Society 24 (2011), 1105–1158. M. Larsen and A. Shalev, Word maps and Waring type problems, Journal of the American Mathematical Society 22 (2009), 437–466. Seitz, The maximal subgroups of positive dimension in exceptional algebraic groups, Memoirs of the American Mathematical Society 169 (2004).

Mathematics Group Theory. Title:The Irreducible Subgroups of Exceptional Algebraic Groups. Authors:Adam R. Thomas. Submitted on 17 Aug 2016 (v1), last revised 20 Dec 2017 (this version, v3)). Abstract: This paper is a contribution to the study of the subgroup structure of exceptional algebraic groups over algebraically closed fields of arbitrary characteristic.

EDWARDS irreducible polynomial of degree µ with coefficients in K.

EDWARDS irreducible polynomial of degree µ with coefficients in K whenever p0 is in K. Thus, he sought to give a formula for the most general algebraic quantity that can be a root of an irreducible solvable polynomial of prime degree µ. Otherwise stated, he wanted not only to construct a field that would contain a root of a given polynomial o. In particular, an algebraic number field is an algebraic field in which there are no indeterminates. In particular, the Galois group of Ω over K can be described as a group of permutations of the Lagrange resolvents α j si. Let G be the Galois group of Ω over K and let G0 be the subgroup containing the automorphisms that leave α fixed.

A closed subgroup of a semisimple algebraic group is called irreducible if it lies in no proper parabolic subgroup.

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