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A note on solvable maximal subgroups in subnormal subgroups of ${\mathrm GL}_n(D)$
- Publication Year :
- 2018
-
Abstract
- Let $D$ be a non-commutative division ring, $G$ a subnormal subgroup of ${\mathrm GL}_n(D)$. In this note we show that if $G$ contains a non-abelian solvable maximal subgroup, then $n=1$ and $D$ is a cyclic algebra of prime degree over $F$.<br />Comment: 9 pages
- Subjects :
- Mathematics - Rings and Algebras
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.1809.00356
- Document Type :
- Working Paper