Location of subgroups normalized by a given subgroup

DOI10.1007/BF02988482zbMath0790.20069MaRDI QIDQ1261275

Alexei Stepanov

Publication date: 1 September 1993

Published in: Journal of Soviet Mathematics (Search for Journal in Brave)

zbMATH Keywords

general linear groupsmaximal subgroupclassical groups over ringsdiagonal matricesstrongly polynormal subgroups

Mathematics Subject Classification ID

Chains and lattices of subgroups, subnormal subgroups (20E15) Other matrix groups over rings (20H25) Special aspects of infinite or finite groups (20F99)

Related Items (9)

On subgroups normalized by \(\mathrm{EO}(2l,R)\). ⋮ Overgroups of elementary symplectic groups ⋮ Sandwich classification for \(\mathrm{GL}_{n}(R)\), \(\mathrm{O}_{2n}(R)\) and \(\mathrm{U}_{2n}(R,\lambda)\) revisited ⋮ Overgroups of $\mathrm{EO}(n,R)$ ⋮ Abstract Radices ⋮ The E-normal structure of Petrov’s odd unitary groups over commutative rings ⋮ Normal Structure of Maximal Parabolic Subgroups in Chevalley Groups over Rings ⋮ Dimension theory and nonstable K-theory for net groups ⋮ On the normal structure of the general linear group over a ring

Cites Work

• Buildings of spherical type and finite BN-pairs
• \(K\)-theory and stable algebra
• On normal subgroups of Chevalley groups over commutative rings
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