Intermediate subgroups of the general linear group that contain the quaternion group

DOI10.1007/BF02169958zbMath0938.20040OpenAlexW2056669612MaRDI QIDQ1303322

A. A. Bondarenko

Publication date: 5 October 1999

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

Full work available at URL: https://doi.org/10.1007/bf02169958

zbMATH Keywords

general linear groupssubgroupsquaternion group

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Chains and lattices of subgroups, subnormal subgroups (20E15) Other matrix groups over fields (20H20)

Related Items (1)

Linear Groups of Degree 4 Over a Quaternion Division Ring that Contain the Special Unitary Group of a Skew-Hermitian Form with Maximal Witt Index

Cites Work

• On rings of factors concerned with intermediate subgroups for a quadratic torus
• Arrangement of subgroups containing a ramified quadratic torus in a complete linear group of degree \(2\) over a local number field \((p\neq 2)\)
• Arrangement of the subgroups that contain an unramified quadratic torus in the general linear group of degree \(2\) over a local number field (\(p\neq 2\))
• Arrangement of the subgroups that contain an unramified quadratic torus in the general linear group of degree \(2\) over a local number field (\(p=2\))
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