TY  - BOOK
AU  - Praeger,Cheryl E.
AU  - Soicher,Leonard H.
TI  - Low rank representations and graphs for sporadic groups
T2  - Australian Mathematical Society lecture series
SN  - 9780511526039 (ebook)
AV  - QA177 .P74 1997
U1  - 512/.2 20
PY  - 1997///
CY  - Cambridge
PB  - Cambridge University Press
KW  - Finite simple groups
KW  - Representations of groups
KW  - Graph theory
N1  - Title from publisher's bibliographic system (viewed on 05 Oct 2015)
N2  - This book presents a complete classification of the transitive permutation representations of rank at most five of the sporadic simple groups and their automorphism groups, together with a comprehensive study of the vertex-transitive graphs associated with these representations. Included is a list of all vertex-transitive, distance-regular graphs on which a sporadic almost simple group acts with rank at most five.  In this list are some new, interesting distance-regular graphs of diameter two, which are not distance-transitive. For most of the representations a presentation of the sporadic group is given, with words in the given generators which generate a point stabiliser:  this gives readers sufficient information to reconstruct and study the representations and graphs. Practical computational techniques appropriate for analysing finite vertex-transitive graphs are described carefully, making the book an excellent starting point for learning about groups and the graphs on which they act
UR  - https://doi.org/10.1017/CBO9780511526039
ER  -