Subring subgroups in Chevalley groups with doubly laced root systems.
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Publication:1938535
DOI10.1016/j.jalgebra.2012.04.007zbMath1267.20073OpenAlexW2028774614MaRDI QIDQ1938535
Publication date: 21 February 2013
Published in: Journal of Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jalgebra.2012.04.007
elementary subgroupsnormal subgroupslattices of subgroupsChevalley groupsstandard descriptionssmall semisimple elements
Subgroup theorems; subgroup growth (20E07) Chains and lattices of subgroups, subnormal subgroups (20E15) Other matrix groups over rings (20H25)
Related Items (13)
The normalizer of the elementary linear group of a module arising when the base ring is extended ⋮ On subgroups normalized by \(\mathrm{EO}(2l,R)\). ⋮ Unnamed Item ⋮ Free product subgroups between Chevalley groups \(G(\Phi,F)\) and \(G(\Phi,F[t)\).] ⋮ Word maps, word maps with constants and representation varieties of one-relator groups ⋮ Word maps on perfect algebraic groups ⋮ Overgroups of Levi subgroups I. The case of abelian unipotent radical ⋮ Subgroups of Chevalley groups over rings ⋮ Subgroups of Chevalley groups of types $B_l$ and $C_l$ containing the group over a subring, and corresponding carpets ⋮ Word maps and word maps with constants of simple algebraic groups ⋮ Overgroups of subsystem subgroups in exceptional groups: levels. ⋮ Overgroups of $E(m,R)⊗E(n,R)$ I. Levels and normalizers ⋮ Subring subgroups of symplectic groups in characteristic 2
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