Gauss decomposition with prescribed semisimple part in quadratic groups

Sheng Kui Ye; Sheng Chen; Chun Sheng Wang

doi:10.1080/00927870802502704

Gauss decomposition with prescribed semisimple part in quadratic groups

Sheng Kui Ye^*
, Sheng Chen
, Chun Sheng Wang

^*Corresponding author for this work

School of Mathematics

Harbin Institute of Technology
Anhui Xinhua University

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

Abstract

Quadratic groups, whose definitions depend on form parameters, contain the orthogonal groups, symplectic groups, classical unitary groups and all the classical groups of Dieudonné [4] as well as those of Bruhat and Tits [2]. Gauss decomposition with prescribed semisimple part in these groups is presented. As an application, the analog of a conjecture of Thompson is also studied for these groups.

Original language	English
Pages (from-to)	3054-3063
Number of pages	10
Journal	Communications in Algebra
Volume	37
Issue number	9
DOIs	https://doi.org/10.1080/00927870802502704
State	Published - Sep 2009

Keywords

Gauss decomposition
Quadratic groups
Thompson conjecture

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10.1080/00927870802502704

Cite this

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title = "Gauss decomposition with prescribed semisimple part in quadratic groups",

abstract = "Quadratic groups, whose definitions depend on form parameters, contain the orthogonal groups, symplectic groups, classical unitary groups and all the classical groups of Dieudonn{\'e} [4] as well as those of Bruhat and Tits [2]. Gauss decomposition with prescribed semisimple part in these groups is presented. As an application, the analog of a conjecture of Thompson is also studied for these groups.",

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author = "Ye, \{Sheng Kui\} and Sheng Chen and Wang, \{Chun Sheng\}",

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T1 - Gauss decomposition with prescribed semisimple part in quadratic groups

AU - Ye, Sheng Kui

AU - Chen, Sheng

AU - Wang, Chun Sheng

PY - 2009/9

Y1 - 2009/9

N2 - Quadratic groups, whose definitions depend on form parameters, contain the orthogonal groups, symplectic groups, classical unitary groups and all the classical groups of Dieudonné [4] as well as those of Bruhat and Tits [2]. Gauss decomposition with prescribed semisimple part in these groups is presented. As an application, the analog of a conjecture of Thompson is also studied for these groups.

AB - Quadratic groups, whose definitions depend on form parameters, contain the orthogonal groups, symplectic groups, classical unitary groups and all the classical groups of Dieudonné [4] as well as those of Bruhat and Tits [2]. Gauss decomposition with prescribed semisimple part in these groups is presented. As an application, the analog of a conjecture of Thompson is also studied for these groups.

KW - Gauss decomposition

KW - Quadratic groups

KW - Thompson conjecture

UR - https://www.scopus.com/pages/publications/70449567748

U2 - 10.1080/00927870802502704

DO - 10.1080/00927870802502704

M3 - 文章

AN - SCOPUS:70449567748

SN - 0092-7872

VL - 37

SP - 3054

EP - 3063

JO - Communications in Algebra

JF - Communications in Algebra

IS - 9

ER -

Gauss decomposition with prescribed semisimple part in quadratic groups

Abstract

Keywords

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