On the length of commutators in Chevalley groups.
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Publication:1758932
DOI10.1007/s11856-011-0109-2zbMath1262.20054OpenAlexW2069611666MaRDI QIDQ1758932
Alexei Stepanov, Nikolai A. Vavilov
Publication date: 19 November 2012
Published in: Israel Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11856-011-0109-2
Commutator calculus (20F12) Linear algebraic groups over adèles and other rings and schemes (20G35) Stability for linear groups (19B14)
Related Items (21)
Bounded reduction of orthogonal matrices over polynomial rings ⋮ The commutators of classical groups ⋮ \(\mathrm{SL}_2\)-factorizations of Chevalley groups. ⋮ Involution widths of skew linear groups generated by involutions ⋮ Bounded reduction for Chevalley groups of types \(E_6\) and \(E_7\) ⋮ Bounded generation and commutator width of Chevalley groups: function case ⋮ Commutators of elementary subgroups: curiouser and curiouser ⋮ Structure of Chevalley groups over rings via universal localization. ⋮ Relative commutator calculus in Chevalley groups. ⋮ Calculations in exceptional groups over rings. ⋮ Relative unitary commutator calculus, and applications. ⋮ Non-abelian \(K\)-theory for Chevalley groups over rings. ⋮ Decomposition of unipotents for \(\mathrm{E}_6\) and \(\mathrm{E}_7\): 25 years after ⋮ Local-global principle for congruence subgroups of Chevalley groups. ⋮ Unitriangular factorizations of Chevalley groups. ⋮ The yoga of commutators. ⋮ Chevalley groups of type E7 in the 56-dimensional representation ⋮ Generation of relative commutator subgroups in Chevalley groups. II ⋮ Calculations in exceptional groups, an update. ⋮ Commutators of relative and unrelative elementary unitary groups ⋮ Multiple commutator formulas for unitary groups
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