MAXIMAL SUBGROUPS OF SL(n, Z)

T. Gelander; C. Meiri

doi:10.1007/s00031-016-9392-7

MAXIMAL SUBGROUPS OF SL(n, Z)

T. Gelander, C. Meiri

Weizmann Institute of Science, Technion - Israel Institute of Technology

Research output: Contribution to journal › Article › peer-review

Abstract

We establish the existence of maximal subgroups of various different natures in SL(n, a"currency sign). In particular, we prove that there are 2(I degrees 0) maximal subgroups, we provide a maximal subgroup whose action on the projective space has no dense orbits, and we produce a faithful primitive permutation representation of PSL(n, a"currency sign) which is not 2-transitive.

Original language	English
Pages (from-to)	1063-1078
Number of pages	16
Journal	Transformation Groups
Volume	21
Issue number	4
DOIs	https://doi.org/10.1007/s00031-016-9392-7
State	Published - 1 Dec 2016

All Science Journal Classification (ASJC) codes

Geometry and Topology
Algebra and Number Theory

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10.1007/s00031-016-9392-7

Cite this

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AU - Meiri, C.

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N2 - We establish the existence of maximal subgroups of various different natures in SL(n, a"currency sign). In particular, we prove that there are 2(I degrees 0) maximal subgroups, we provide a maximal subgroup whose action on the projective space has no dense orbits, and we produce a faithful primitive permutation representation of PSL(n, a"currency sign) which is not 2-transitive.

AB - We establish the existence of maximal subgroups of various different natures in SL(n, a"currency sign). In particular, we prove that there are 2(I degrees 0) maximal subgroups, we provide a maximal subgroup whose action on the projective space has no dense orbits, and we produce a faithful primitive permutation representation of PSL(n, a"currency sign) which is not 2-transitive.

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DO - 10.1007/s00031-016-9392-7

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EP - 1078

JO - Transformation Groups

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MAXIMAL SUBGROUPS OF SL(n, Z)

Abstract

All Science Journal Classification (ASJC) codes

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