On presentations for unitary groups

Marston Conder; George Havas; M. F. Newman; Colin Ramsay

doi:10.1016/j.jalgebra.2019.02.043

On presentations for unitary groups

Marston Conder
, George Havas^*
, M. F. Newman
, Colin Ramsay

^*Corresponding author for this work

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

Abstract

Concise presentations for groups are useful for both theoretical and computational purposes. We give short 2-generator presentations for the 3-dimensional unitary groups U₃(q) and SU₃(q) for q up to 11.

Original language	English
Pages (from-to)	100-110
Number of pages	11
Journal	Journal of Algebra
Volume	545
DOIs	https://doi.org/10.1016/j.jalgebra.2019.02.043
Publication status	Published - 1 Mar 2020

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10.1016/j.jalgebra.2019.02.043

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title = "On presentations for unitary groups",

abstract = "Concise presentations for groups are useful for both theoretical and computational purposes. We give short 2-generator presentations for the 3-dimensional unitary groups U3(q) and SU3(q) for q up to 11.",

keywords = "Coset enumeration, Presentations, Unitary groups",

author = "Marston Conder and George Havas and Newman, \{M. F.\} and Colin Ramsay",

note = "Publisher Copyright: {\textcopyright} 2019 Elsevier Inc.",

year = "2020",

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doi = "10.1016/j.jalgebra.2019.02.043",

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AU - Ramsay, Colin

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N2 - Concise presentations for groups are useful for both theoretical and computational purposes. We give short 2-generator presentations for the 3-dimensional unitary groups U3(q) and SU3(q) for q up to 11.

AB - Concise presentations for groups are useful for both theoretical and computational purposes. We give short 2-generator presentations for the 3-dimensional unitary groups U3(q) and SU3(q) for q up to 11.

KW - Coset enumeration

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KW - Unitary groups

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DO - 10.1016/j.jalgebra.2019.02.043

M3 - Article

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VL - 545

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JO - Journal of Algebra

JF - Journal of Algebra

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On presentations for unitary groups

Abstract

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