The primitive distance-transitive representations of the fischer groups

Stephen A. Linton, Klaus M Lux, Leonard H. Soicher

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

We classify the primitive distance-transitive representations of the Fischer sporadic simple groups and their automorphism groups. It turns out that the only primitive distance-transitive representationsof thesegroups are their rank 3 representations. In the process of our work,we also classify and study the primitive multiplicity-free permutation representations of these Fischer groups. Our methods, which we describe in some detail, demonstrate the use of computational and randomized techniques in the classification of distance-transitive graphs and the study of very large permutation representations.

Original languageEnglish (US)
Pages (from-to)235-253
Number of pages19
JournalExperimental Mathematics
Volume4
Issue number3
DOIs
StatePublished - Jan 1 1995
Externally publishedYes

Fingerprint

Permutation Representation
Classify
Sporadic Simple Groups
Automorphism Group
Multiplicity
Graph in graph theory
Demonstrate

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

The primitive distance-transitive representations of the fischer groups. / Linton, Stephen A.; Lux, Klaus M; Soicher, Leonard H.

In: Experimental Mathematics, Vol. 4, No. 3, 01.01.1995, p. 235-253.

Research output: Contribution to journalArticle

Linton, Stephen A. ; Lux, Klaus M ; Soicher, Leonard H. / The primitive distance-transitive representations of the fischer groups. In: Experimental Mathematics. 1995 ; Vol. 4, No. 3. pp. 235-253.
@article{7fe4d177006b46f19edc5b206a06a4f6,
title = "The primitive distance-transitive representations of the fischer groups",
abstract = "We classify the primitive distance-transitive representations of the Fischer sporadic simple groups and their automorphism groups. It turns out that the only primitive distance-transitive representationsof thesegroups are their rank 3 representations. In the process of our work,we also classify and study the primitive multiplicity-free permutation representations of these Fischer groups. Our methods, which we describe in some detail, demonstrate the use of computational and randomized techniques in the classification of distance-transitive graphs and the study of very large permutation representations.",
author = "Linton, {Stephen A.} and Lux, {Klaus M} and Soicher, {Leonard H.}",
year = "1995",
month = "1",
day = "1",
doi = "10.1080/10586458.1995.10504324",
language = "English (US)",
volume = "4",
pages = "235--253",
journal = "Experimental Mathematics",
issn = "1058-6458",
publisher = "A K Peters",
number = "3",

}

TY - JOUR

T1 - The primitive distance-transitive representations of the fischer groups

AU - Linton, Stephen A.

AU - Lux, Klaus M

AU - Soicher, Leonard H.

PY - 1995/1/1

Y1 - 1995/1/1

N2 - We classify the primitive distance-transitive representations of the Fischer sporadic simple groups and their automorphism groups. It turns out that the only primitive distance-transitive representationsof thesegroups are their rank 3 representations. In the process of our work,we also classify and study the primitive multiplicity-free permutation representations of these Fischer groups. Our methods, which we describe in some detail, demonstrate the use of computational and randomized techniques in the classification of distance-transitive graphs and the study of very large permutation representations.

AB - We classify the primitive distance-transitive representations of the Fischer sporadic simple groups and their automorphism groups. It turns out that the only primitive distance-transitive representationsof thesegroups are their rank 3 representations. In the process of our work,we also classify and study the primitive multiplicity-free permutation representations of these Fischer groups. Our methods, which we describe in some detail, demonstrate the use of computational and randomized techniques in the classification of distance-transitive graphs and the study of very large permutation representations.

UR - http://www.scopus.com/inward/record.url?scp=44449123820&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=44449123820&partnerID=8YFLogxK

U2 - 10.1080/10586458.1995.10504324

DO - 10.1080/10586458.1995.10504324

M3 - Article

AN - SCOPUS:44449123820

VL - 4

SP - 235

EP - 253

JO - Experimental Mathematics

JF - Experimental Mathematics

SN - 1058-6458

IS - 3

ER -