Bases of primitive linear groups II

Martin W. Liebeck; Aner Shalev

doi:10.1016/j.jalgebra.2014.01.011

Bases of primitive linear groups II

Martin W. Liebeck, Aner Shalev

Einstein Institute of Mathematics

The Hebrew University of Jerusalem

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

Abstract

We correct and improve a result in [3], giving the structure of finite primitive linear groups of unbounded base size. This confirms a well-known conjecture of Pyber on base sizes of primitive permutation groups in the case of affine groups whose associated linear group is primitive.

Original language	English
Pages (from-to)	223-228
Number of pages	6
Journal	Journal of Algebra
Volume	403
DOIs	https://doi.org/10.1016/j.jalgebra.2014.01.011
State	Published - 1 Feb 2014

Keywords

Base
Linear group
Permutation group

All Science Journal Classification (ASJC) codes

Algebra and Number Theory

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10.1016/j.jalgebra.2014.01.011

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@article{138ee11d6472441cb75127c15dfc74be,

title = "Bases of primitive linear groups II",

abstract = "We correct and improve a result in [3], giving the structure of finite primitive linear groups of unbounded base size. This confirms a well-known conjecture of Pyber on base sizes of primitive permutation groups in the case of affine groups whose associated linear group is primitive.",

keywords = "Base, Linear group, Permutation group",

author = "Liebeck, {Martin W.} and Aner Shalev",

note = "Funding Information: The authors acknowledge the support of an EPSRC grant. The second author is grateful for the support of ISF grant 754/08 and ERC Advanced Grant 247034 .",

year = "2014",

month = feb,

day = "1",

doi = "10.1016/j.jalgebra.2014.01.011",

language = "الإنجليزيّة",

volume = "403",

pages = "223--228",

journal = "Journal of Algebra",

issn = "0021-8693",

publisher = "Academic Press Inc.",

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T1 - Bases of primitive linear groups II

AU - Liebeck, Martin W.

AU - Shalev, Aner

N1 - Funding Information: The authors acknowledge the support of an EPSRC grant. The second author is grateful for the support of ISF grant 754/08 and ERC Advanced Grant 247034 .

PY - 2014/2/1

Y1 - 2014/2/1

N2 - We correct and improve a result in [3], giving the structure of finite primitive linear groups of unbounded base size. This confirms a well-known conjecture of Pyber on base sizes of primitive permutation groups in the case of affine groups whose associated linear group is primitive.

AB - We correct and improve a result in [3], giving the structure of finite primitive linear groups of unbounded base size. This confirms a well-known conjecture of Pyber on base sizes of primitive permutation groups in the case of affine groups whose associated linear group is primitive.

KW - Base

KW - Linear group

KW - Permutation group

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U2 - 10.1016/j.jalgebra.2014.01.011

DO - 10.1016/j.jalgebra.2014.01.011

M3 - مقالة

SN - 0021-8693

VL - 403

SP - 223

EP - 228

JO - Journal of Algebra

JF - Journal of Algebra

ER -

Bases of primitive linear groups II

Abstract

Keywords

All Science Journal Classification (ASJC) codes

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