TY - JOUR
T1 - Random Permutations
T2 - Some Group-Theoretic Aspects
AU - Cameron, Peter J.
AU - Kantor, William M.
PY - 1993/1/1
Y1 - 1993/1/1
N2 - The study of asymptotics of random permutations was initiated by Erdős and Turáan, in a series of papers from 1965 to 1968, and has been much studied since. Recent developments in permutation group theory make it reasonable to ask questions with a more group-theoretic flavour. Two examples considered here are membership in a proper transitive subgroup, and the intersection of a subgroup with a random conjugate. These both arise from other topics (quasigroups, bases for permutation groups, and design constructions).
AB - The study of asymptotics of random permutations was initiated by Erdős and Turáan, in a series of papers from 1965 to 1968, and has been much studied since. Recent developments in permutation group theory make it reasonable to ask questions with a more group-theoretic flavour. Two examples considered here are membership in a proper transitive subgroup, and the intersection of a subgroup with a random conjugate. These both arise from other topics (quasigroups, bases for permutation groups, and design constructions).
UR - http://www.scopus.com/inward/record.url?scp=84971737415&partnerID=8YFLogxK
U2 - 10.1017/S0963548300000651
DO - 10.1017/S0963548300000651
M3 - Article
AN - SCOPUS:84971737415
SN - 0963-5483
VL - 2
SP - 257
EP - 262
JO - Combinatorics, Probability and Computing
JF - Combinatorics, Probability and Computing
IS - 3
ER -