Publications

BibTex format

@article{Liebeck:2019:10.1112/blms.12251,
author = {Liebeck, M and Shalev, A},
doi = {10.1112/blms.12251},
journal = {Bulletin of the London Mathematical Society},
pages = {539--546},
title = {Girth, words and diameter},
url = {http://dx.doi.org/10.1112/blms.12251},
volume = {51},
year = {2019}
}

Download

RIS format (EndNote, RefMan)

TY  - JOUR
AB  - We study the girth of Cayley graphs of finite classical groups G on random sets of generators. Our main tool is an essentially best possible bound we obtain on the probability that a given word w takes the value 1 when evaluated in G in terms of the length of w, which has additional applications. We also study the girth of random directed Cayley graphs of symmetric groups, and the relation between the girth and the diameter of random Cayley graphs of finite simple groups.
AU  - Liebeck,M
AU  - Shalev,A
DO  - 10.1112/blms.12251
EP  - 546
PY  - 2019///
SN  - 0024-6093
SP  - 539
TI  - Girth, words and diameter
T2  - Bulletin of the London Mathematical Society
UR  - http://dx.doi.org/10.1112/blms.12251
UR  - http://hdl.handle.net/10044/1/68007
VL  - 51
ER  -

Download

ProfessorMartinLiebeck

Contact

Location

Summary

Citation

BibTex format

RIS format (EndNote, RefMan)