Irreducibility testing of finite nilpotent linear groups

Tobias Rossmann

doi:10.1016/j.jalgebra.2010.04.031

Irreducibility testing of finite nilpotent linear groups

Tobias Rossmann

Mathematics

Research output: Contribution to a Journal (Peer & Non Peer) › Article › peer-review

2 Citations (Scopus)

Abstract

We describe an algorithm for irreducibility testing of finite nilpotent linear groups over various fields of characteristic zero, including number fields and rational function fields over number fields. For a reducible group, our algorithm constructs a proper submodule. An implementation in Magma is publicly available.

Original language	English
Pages (from-to)	1114-1124
Number of pages	11
Journal	Journal of Algebra
Volume	324
Issue number	5
DOIs	https://doi.org/10.1016/j.jalgebra.2010.04.031
Publication status	Published - Sep 2010

Keywords

Irreducibility testing
Linear groups
Nilpotent groups

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10.1016/j.jalgebra.2010.04.031

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title = "Irreducibility testing of finite nilpotent linear groups",

abstract = "We describe an algorithm for irreducibility testing of finite nilpotent linear groups over various fields of characteristic zero, including number fields and rational function fields over number fields. For a reducible group, our algorithm constructs a proper submodule. An implementation in Magma is publicly available.",

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author = "Tobias Rossmann",

year = "2010",

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AU - Rossmann, Tobias

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AB - We describe an algorithm for irreducibility testing of finite nilpotent linear groups over various fields of characteristic zero, including number fields and rational function fields over number fields. For a reducible group, our algorithm constructs a proper submodule. An implementation in Magma is publicly available.

KW - Irreducibility testing

KW - Linear groups

KW - Nilpotent groups

UR - https://www.scopus.com/pages/publications/77954219331

U2 - 10.1016/j.jalgebra.2010.04.031

DO - 10.1016/j.jalgebra.2010.04.031

M3 - Article

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VL - 324

SP - 1114

EP - 1124

JO - Journal of Algebra

JF - Journal of Algebra

IS - 5

ER -

Irreducibility testing of finite nilpotent linear groups

Abstract

Keywords

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