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Overgroups of irreducible linear groups. I

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Publication:1913938
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DOI10.1006/jabr.1996.0108zbMath0848.20031OpenAlexW2166002310MaRDI QIDQ1913938

Ben Ford

Publication date: 9 July 1996

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jabr.1996.0108


zbMATH Keywords

classical groupssimple algebraic groupsclosed connected overgroupsmaximal closed connected subgroupstensor indecomposable irreducible rational representations


Mathematics Subject Classification ID

Linear algebraic groups over arbitrary fields (20G15) Subgroup theorems; subgroup growth (20E07) Maximal subgroups (20E28) Chains and lattices of subgroups, subnormal subgroups (20E15)


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Irreducible almost simple subgroups of classical algebraic groups ⋮ Subgroup structure and representations of finite and algebraic groups. ⋮ A new family of irreducible subgroups of the orthogonal algebraic groups ⋮ On irreducible subgroups of simple algebraic groups ⋮ Restriction of irreducible modules for \(\mathrm{Spin}_{2n+1}(K)\) to \(\mathrm{Spin}_{2n}(K)\) ⋮ Irreducible disconnected subgroups of exceptional algebraic groups. ⋮ Symmetric powers and a problem of Kollár and Larsen.



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