Symplectic commutator subgroups.

DOI10.1016/j.laa.2007.01.002zbMath1114.20028OpenAlexW2131685986MaRDI QIDQ880038

Melissa Meehan Hoover

Publication date: 10 May 2007

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2007.01.002

zbMATH Keywords

symplectic groupselementary matricesnormal subgroupshomomorphismscommutator subgroupscommutative ringsspecial linear groupspower residue symbolssymplectic commutators

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Chains and lattices of subgroups, subnormal subgroups (20E15) Other matrix groups over rings (20H25) Derived series, central series, and generalizations for groups (20F14)

Cites Work

• The \(E(2,A)\) sections of \(SL(2,A)\)
• Power residue symbols and the central sections of \(\text{SL}(2,A)\)
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