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

Ariel University

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)

All Science Journal Classification (ASJC) codes

Statistics, Probability and Uncertainty
Computational Theory and Mathematics
General Mathematics

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10.1007/s40863-020-00183-3

Cite this

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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).",

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AB - 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).

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KW - Finite group schemes

KW - Finite linear groups

KW - Linearly reductive algebraic groups

KW - SL(2, F)

KW - SL(3, F)

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DO - 10.1007/s40863-020-00183-3

M3 - مقالة

SN - 1982-6907

VL - 14

SP - 437

EP - 442

JO - Sao Paulo Journal of Mathematical Sciences

JF - Sao Paulo Journal of Mathematical Sciences

IS - 2

ER -

Linearly reductive finite subgroup schemes of SL (3)

Abstract

Keywords

All Science Journal Classification (ASJC) codes

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