000 02434nam a22003738i 4500
001 CR9780511661792
003 UkCbUP
005 20200124160236.0
006 m|||||o||d||||||||
007 cr||||||||||||
008 091215s2007||||enk o ||1 0|eng|d
020 _a9780511661792 (ebook)
020 _z9780521857215 (hardback)
040 _aUkCbUP
_beng
_erda
_cUkCbUP
050 0 0 _aQA177
_b.C87 2007
082 0 4 _a512.2
_222
100 1 _aCurtis, Robert,
_d1946-
_eauthor.
245 1 0 _aSymmetric generation of groups :
_bwith applications to many of the sporadic finite simple groups /
_cRobert T. Curtis.
264 1 _aCambridge :
_bCambridge University Press,
_c2007.
300 _a1 online resource (xiv, 317 pages) :
_bdigital, PDF file(s).
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
490 1 _aEncyclopedia of mathematics and its applications ;
_vvolume 111
500 _aTitle from publisher's bibliographic system (viewed on 05 Oct 2015).
505 0 _aMotivation -- Involutory symmetric generators -- Non-involutory symmetric generators.
520 _aSome of the most beautiful mathematical objects found in the last forty years are the sporadic simple groups. But gaining familiarity with these groups presents problems for two reasons. Firstly, they were discovered in many different ways, so to understand their constructions in depth one needs to study lots of different techniques. Secondly, since each of them is in a sense recording some exceptional symmetry in spaces of certain dimensions, they are by their nature highly complicated objects with a rich underlying combinatorial structure. Motivated by initial results which showed that the Mathieu groups can be generated by highly symmetrical sets of elements, which themselves have a natural geometric definition, the author develops from scratch the notion of symmetric generation. He exploits this technique by using it to define and construct many of the sporadic simple groups including all the Janko groups and the Higman-Sims group. For researchers and postgraduates.
650 0 _aSporadic groups (Mathematics)
650 0 _aFinite simple groups.
650 0 _aSymmetry groups.
776 0 8 _iPrint version:
_z9780521857215
830 0 _aEncyclopedia of mathematics and its applications ;
_vv. 111.
856 4 0 _uhttps://doi.org/10.1017/CBO9780511661792
999 _c518091
_d518089