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Irredundant bases for
finite groups of Lie type
Nick Gill and Martin W. Liebeck |
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Vol. 322 (2023), No. 2, 281–300
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Abstract |
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We prove that the maximum length of an irredundant base for a primitive action of a finite simple group of Lie type is bounded above by a function which is a polynomial in the rank of the group. We give examples to show that this type of upper bound is best possible. |
Keywords
irredundant base, group of Lie type
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Mathematical Subject Classification
Primary: 20B05, 20D06
Secondary: 20G40
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Milestones
Received: 15 December 2022
Accepted: 11 February 2023
Published: 23 May 2023
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Authors |
| Nick Gill | |
| School of Mathematics and
Statistics The Open University Milton Keynes United Kingdom |
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| Martin W. Liebeck | |
| Department of Mathematics Imperial College London London United Kingdom |
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| © 2023 MSP (Mathematical Sciences Publishers). Distributed under the Creative Commons Attribution License 4.0 (CC BY). |
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