Publications

BibTex format

@article{Lee:2018:10.2140/ant.2018.12.1537,
author = {Lee, M and Liebeck, MW},
doi = {10.2140/ant.2018.12.1537},
journal = {Algebra and Number Theory},
pages = {1537--1557},
title = {Bases for quasisimple  linear groups},
url = {http://dx.doi.org/10.2140/ant.2018.12.1537},
volume = {12},
year = {2018}
}

Download

RIS format (EndNote, RefMan)

TY  - JOUR
AB  - Let V be a vector space of dimension d over Fq, a finite field of q elements, and let G≤GL (V)∼=GLd(q) be a linear group.  A basefor G is a set of vectors whose pointwise stabiliser in G is trivial.  We prove that if G is a quasisimple group (i.e. Gis perfect and G/Z (G) is simple) acting irreducibly on V,  then excluding two natural families, G has a base of size at most 6.  The two families consist of alternating groups Alt m acting on the natural module of dimension d=m−1 orm−2, and classical groups with natural module of dimension d over subfields of Fq.
AU  - Lee,M
AU  - Liebeck,MW
DO  - 10.2140/ant.2018.12.1537
EP  - 1557
PY  - 2018///
SN  - 1937-0652
SP  - 1537
TI  - Bases for quasisimple  linear groups
T2  - Algebra and Number Theory
UR  - http://dx.doi.org/10.2140/ant.2018.12.1537
UR  - https://msp.org/ant/2018/12-6/p06.xhtml
UR  - http://hdl.handle.net/10044/1/61153
VL  - 12
ER  -

Download

ProfessorMartinLiebeck

Contact

Location

Summary

Citation

BibTex format

RIS format (EndNote, RefMan)