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Fixed points of elementary subgroups of Chevalley groups acting on trees

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Publication:1141755
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DOI10.21099/tkbjm/1496158684zbMath0438.20030OpenAlexW646408349MaRDI QIDQ1141755

Makoto Fukunaga

Publication date: 1979

Published in: Tsukuba Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.21099/tkbjm/1496158684


zbMATH Keywords

treelinear algebraic groupirreducible root systemChevalley-Demazure group schemeChevalley groups acting on treeselementary subgroup


Mathematics Subject Classification ID

Trees (05C05) Representation theory for linear algebraic groups (20G05) Unimodular groups, congruence subgroups (group-theoretic aspects) (20H05) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Structure of modular groups and generalizations; arithmetic groups (11F06) Group schemes (14L15)


Related Items (3)

Low-dimensional representations of matrix groups and group actions on \(\mathrm{CAT}(0)\) spaces and manifolds. ⋮ Actions of certain arithmetic groups on Gromov hyperbolic spaces ⋮ Group actions and Helly's theorem




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