Irreducibility testing of finite nilpotent linear groups

Tobias Rossmann

doi:10.13025/26884

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/10.13025/26884 https://doi.org/10.1016/j.jalgebra.2010.04.031
Publication status	Published - Sept 2010

Keywords

Externally hosted open access publications with University of Galway authors
Irreducibility testing
Linear groups
matrix groups
Nilpotent groups

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10.13025/26884Licence: CC BY
10.1016/j.jalgebra.2010.04.031

Cite this

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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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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 - Externally hosted open access publications with University of Galway authors

KW - Irreducibility testing

KW - Linear groups

KW - matrix groups

KW - Nilpotent groups

UR - http://hdl.handle.net/10379/13711

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

U2 - 10.13025/26884

DO - 10.13025/26884

M3 - Article

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VL - 324

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JO - Journal of Algebra

JF - Journal of Algebra

IS - 5

ER -

Irreducibility testing of finite nilpotent linear groups

Abstract

Keywords

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