On the diagonal subgroup of the special linear group over a division ring

DOI10.1007/s40306-024-00544-6MaRDI QIDQ6650706

Buj Suan Khaj

Publication date: 9 December 2024

Published in: Acta Mathematica Vietnamica (Search for Journal in Brave)

zbMATH Keywords

division ringspecial linear groupnet subgroups

Mathematics Subject Classification ID

Special subgroups (Frattini, Fitting, etc.) (20D25) Chains and lattices of subgroups, subnormal subgroups (20E15) Other matrix groups over fields (20H20) Linear algebraic groups over adèles and other rings and schemes (20G35)

Cites Work

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• A description of the subgroups of the complete linear group that contain the group of diagonal matrices
• On subgroups in the special linear group over a division algebra that contain the subgroup of diagonal matrices
• Configuration of subgroups in the special linear group over a skew field with infinite center
• Schwachnormale Untergruppen: eine gemeinsame Verallgemeinerung der normalen und normalisatorgleichen Untergruppen
• Nilpotent self-normalizing subgroups of soluble groups
• On the system normalizers of a soluble group.
• Finite Soluble Groups with Pronormal System Normalizers

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