On normal subgroups of Jonkier group

Author
Ya. Lavreniuk
Kyiv University, Department of Mech. and Math.
Abstract
The quotient group of the Jonkier group over a prime finite field $\mathbb{F}_p$ by the kernel of its action on an affine space of dimension $n$ over $\mathbb{F}_p$ is considered. The criterion of normality of subgroups of this quotient groups is established. Therefore, all normal subgroups of $J_n$ that include this kernel are described.
Keywords
Jonkier group, quotient group, kernel, normal subgroups
DOI
doi:10.30970/ms.8.2.143-146
Reference
1. N. Ivanenko Normal structure of Jonkier group over a field of the characteristic 0// Ukrainian math. journal V.46 N.6–1994 p.692-698Ukrainian

2. L.A. Kalujnin Selected topics of groups theory, KGU,addr Kyiv- 1979Russian

Pages
143-146
Volume
8
Issue
2
Year
1997
Journal
Matematychni Studii
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