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Fixed point spaces in actions of exceptional algebraic groups.

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Fixed point spaces in actions of exceptional algebraic groups. / Lawther, Ross; Liebeck, Martin W.; Seitz, Gary M.
In: Pacific Journal of Mathematics, Vol. 205, No. 2, 2002, p. 339-391.

Research output: Contribution to Journal/MagazineJournal articlepeer-review

Harvard

Lawther, R, Liebeck, MW & Seitz, GM 2002, 'Fixed point spaces in actions of exceptional algebraic groups.', Pacific Journal of Mathematics, vol. 205, no. 2, pp. 339-391. <http://pjm.math.berkeley.edu/pjm/2002/205-2/p05.xhtml>

APA

Lawther, R., Liebeck, M. W., & Seitz, G. M. (2002). Fixed point spaces in actions of exceptional algebraic groups. Pacific Journal of Mathematics, 205(2), 339-391. http://pjm.math.berkeley.edu/pjm/2002/205-2/p05.xhtml

Vancouver

Lawther R, Liebeck MW, Seitz GM. Fixed point spaces in actions of exceptional algebraic groups. Pacific Journal of Mathematics. 2002;205(2):339-391.

Author

Lawther, Ross ; Liebeck, Martin W. ; Seitz, Gary M. / Fixed point spaces in actions of exceptional algebraic groups. In: Pacific Journal of Mathematics. 2002 ; Vol. 205, No. 2. pp. 339-391.

Bibtex

@article{b6010fcf48f9422aa3e4f560869da30e,
title = "Fixed point spaces in actions of exceptional algebraic groups.",
abstract = "Let G be a simple algebraic group of exceptional type acting transitively on an algebraic variety. We provide estimates for the dimensions of the subvarieties of fixed points of elements of G. These translate into estimates for the dimensions of intersections of conjugacy classes of G with closed subgroups.",
author = "Ross Lawther and Liebeck, {Martin W.} and Seitz, {Gary M.}",
year = "2002",
language = "English",
volume = "205",
pages = "339--391",
journal = "Pacific Journal of Mathematics",
issn = "0030-8730",
publisher = "University of California, Berkeley",
number = "2",

}

RIS

TY - JOUR

T1 - Fixed point spaces in actions of exceptional algebraic groups.

AU - Lawther, Ross

AU - Liebeck, Martin W.

AU - Seitz, Gary M.

PY - 2002

Y1 - 2002

N2 - Let G be a simple algebraic group of exceptional type acting transitively on an algebraic variety. We provide estimates for the dimensions of the subvarieties of fixed points of elements of G. These translate into estimates for the dimensions of intersections of conjugacy classes of G with closed subgroups.

AB - Let G be a simple algebraic group of exceptional type acting transitively on an algebraic variety. We provide estimates for the dimensions of the subvarieties of fixed points of elements of G. These translate into estimates for the dimensions of intersections of conjugacy classes of G with closed subgroups.

M3 - Journal article

VL - 205

SP - 339

EP - 391

JO - Pacific Journal of Mathematics

JF - Pacific Journal of Mathematics

SN - 0030-8730

IS - 2

ER -