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Locally solvable maximal subgroups in division rings.
- Source :
-
Kyoto Journal of Mathematics . 2024, Vol. 64 Issue 1, p245-260. 16p. - Publication Year :
- 2024
-
Abstract
- Let D be a division ring with center F, and let G be an almost subnormal subgroup of D*. In this paper, we show that ifGcontains a non-abelian locally solvable maximal subgroup, then D must be a cyclic algebra of prime degree over F. Moreover, it is proved that every locally nilpotent maximal subgroup of G is abelian. [ABSTRACT FROM AUTHOR]
- Subjects :
- *MAXIMAL subgroups
*DIVISION rings
*ALGEBRA
Subjects
Details
- Language :
- English
- ISSN :
- 21562261
- Volume :
- 64
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Kyoto Journal of Mathematics
- Publication Type :
- Academic Journal
- Accession number :
- 174210830
- Full Text :
- https://doi.org/10.1215/21562261-2023-0017