Linearly reductive finite subgroup schemes of SL (3)

Yuval Z. Flicker

doi:10.1007/s40863-020-00183-3

Linearly reductive finite subgroup schemes of SL (3)

Yuval Z. Flicker

Department of Mathematics

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

Abstract

We determine the linearly reductive finite subgroup schemes G of SL(3,F), namely those all of whose modules are completely reducible, where F is an algebraically closed field of positive characteristic, up to conjugation.This extends work of M. Hashimoto from SL(2,F) to SL(3,F).

Original language	English
Pages (from-to)	437-442
Number of pages	6
Journal	Sao Paulo Journal of Mathematical Sciences
Volume	14
Issue number	2
DOIs	https://doi.org/10.1007/s40863-020-00183-3
State	Published - Dec 2020

Keywords

Complete reducibility
Finite group schemes
Finite linear groups
Linearly reductive algebraic groups
SL(2, F)
SL(3, F)

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10.1007/s40863-020-00183-3

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Linearly reductive finite subgroup schemes of SL (3)

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