Abnormal subgroups in classical groups that correspond to closed root sets.

DOI10.1007/s10958-009-9589-6zbMath1193.20058OpenAlexW1983157063MaRDI QIDQ844492

D. Yu. Shiryaev, N. V. Gravin

Publication date: 19 January 2010

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-009-9589-6

zbMATH Keywords

algebraic groupsroot systemsChevalley groupsminimal abnormal subgroupsweight graphs

Mathematics Subject Classification ID

Linear algebraic groups over arbitrary fields (20G15) Subgroup theorems; subgroup growth (20E07) Chains and lattices of subgroups, subnormal subgroups (20E15) Root systems (17B22)

Cites Work

• ON CLOSED SUBSETS OF ROOTS AND COHOMOLOGY OF REGULAR SUBALGEBRAS
• On Closed Subsets of Root Systems
• Unnamed Item

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