Imperial College London
Professor Martin Liebeck

ProfessorMartinLiebeck

Faculty of Natural Sciences, Department of Mathematics

Head of Pure Mathematics Section/Prof of Pure Mathematics
 
 
 
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Contact

 

+44 (0)20 7594 8490m.liebeck Website

 
 
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Location

 

665Huxley BuildingSouth Kensington Campus

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Summary

 

Publications

Citation

BibTex format

@article{Liebeck:2020:10.1016/j.disc.2019.111719,
author = {Liebeck, M and Green, H},
doi = {10.1016/j.disc.2019.111719},
journal = {Discrete Mathematics},
title = {Some codes in symmetric and linear groups},
url = {http://dx.doi.org/10.1016/j.disc.2019.111719},
volume = {343},
year = {2020}
}
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RIS format (EndNote, RefMan)

TY  - JOUR
AB  - For a finite group G, a positive integer λ, and subsets X, Y of G, write λG = XY if the products xy (x ∈ X, y ∈ Y ), cover G precisely λ times. Such a subset Y is called a code with respect to X, and when λ = 1 it is a perfect code in the Cayley graph Cay(G,X). In this paper we present various families of examples of such codes, with X closed under conjugation and Y a subgroup, in symmetric groups, and also in special linear groups SL2(q). We also propose conjectures about the existence of some much wider families.
AU  - Liebeck,M
AU  - Green,H
DO  - 10.1016/j.disc.2019.111719
PY  - 2020///
SN  - 0012-365X
TI  - Some codes in symmetric and linear groups
T2  - Discrete Mathematics
UR  - http://dx.doi.org/10.1016/j.disc.2019.111719
UR  - http://hdl.handle.net/10044/1/74602
VL  - 343
ER  -
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