000 02445nam a22003858i 4500
001 CR9780511526039
003 UkCbUP
005 20200124160238.0
006 m|||||o||d||||||||
007 cr||||||||||||
008 090406s1997||||enk o ||1 0|eng|d
020 _a9780511526039 (ebook)
020 _z9780521567374 (paperback)
040 _aUkCbUP
_beng
_erda
_cUkCbUP
050 0 0 _aQA177
_b.P74 1997
082 0 0 _a512/.2
_220
100 1 _aPraeger, Cheryl E.,
_d1948-
_eauthor.
245 1 0 _aLow rank representations and graphs for sporadic groups /
_cCheryl E. Praeger, Leonard H. Soicher.
246 3 _aLow Rank Representations & Graphs for Sporadic Groups
264 1 _aCambridge :
_bCambridge University Press,
_c1997.
300 _a1 online resource (xi, 141 pages) :
_bdigital, PDF file(s).
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
490 1 _aAustralian Mathematical Society lecture series ;
_v8
500 _aTitle from publisher's bibliographic system (viewed on 05 Oct 2015).
520 _aThis 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.
650 0 _aFinite simple groups.
650 0 _aRepresentations of groups.
650 0 _aGraph theory.
700 1 _aSoicher, Leonard H.
_q(Leonard Hyman),
_eauthor.
776 0 8 _iPrint version:
_z9780521567374
830 0 _aAustralian Mathematical Society lecture series ;
_v8.
856 4 0 _uhttps://doi.org/10.1017/CBO9780511526039
999 _c518301
_d518299