Overgroups of classical groups over commutative rings in linear group.
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Publication:862709
DOI10.1007/s11425-006-0626-3zbMath1126.20033OpenAlexW1563079742MaRDI QIDQ862709
Publication date: 24 January 2007
Published in: Science in China. Series A (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11425-006-0626-3
Subgroup theorems; subgroup growth (20E07) Chains and lattices of subgroups, subnormal subgroups (20E15) Other matrix groups over rings (20H25)
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Cites Work
- Unnamed Item
- Overgroups of SU(n,K,f) or \(\Omega\) (n,K,Q) in GL(n,K)
- On subgroups of the special linear group containing the special orthogonal group
- On subgroups of the special linear group containing the special unitary group
- Absolute stable rank and Witt cancellation for noncommutative rings
- Linear groups containing a Singer cycle
- Overgroups of a unitary group in \(GL(2,K)\)
- Overgroups of unitary groups.
- On the overgroups of \(\text{EO}(2l,R)\).
- Overgroups of symplectic group in linear group over commutative rings.
- Normal subgroups of classical groups over rings
- OVERGROUPS OF SYMPLECTIC GROUP IN LINEAR GROUP OVER LOCAL RINGS
- The structure of symplectic groups over arbitrary commutative rings
- On normal subgroups of Chevalley groups over commutative rings