${\mathrm A}_3$-proof of structure theorems for Chevalley groups of types ${\mathrm E}_6$ and ${\mathrm E}_7$ II. Main lemma

DOI10.1090/S1061-0022-2012-01223-9zbMath1278.20065OpenAlexW1611561536WikidataQ125016739 ScholiaQ125016739MaRDI QIDQ2849077

Nikolai A. Vavilov

Publication date: 16 September 2013

Published in: St. Petersburg Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s1061-0022-2012-01223-9

zbMATH Keywords

parabolic subgroupselementary subgroupsnormal subgroupsChevalley groupsminimal modulesdecompositions of unipotentsroot elementsorbits of highest weight vectorproofs from the bookstandard description

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Chains and lattices of subgroups, subnormal subgroups (20E15) Linear algebraic groups over adèles and other rings and schemes (20G35) Exceptional groups (20G41)

Related Items

Relative commutator calculus in Chevalley groups., Decomposition of unipotents for \(\mathrm{E}_6\) and \(\mathrm{E}_7\): 25 years after, Sandwich classification for \(O_{2n+1}(R)\) and \(U_{2n+1}(R,\Delta)\) revisited, Towards the reverse decomposition of unipotents, Calculations in exceptional groups, an update.

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