000 02523nam a22003738i 4500
001 CR9780511576812
003 UkCbUP
005 20200124160237.0
006 m|||||o||d||||||||
007 cr||||||||||||
008 090522s2009||||enk o ||1 0|eng|d
020 _a9780511576812 (ebook)
020 _z9780521889940 (hardback)
040 _aUkCbUP
_beng
_erda
_cUkCbUP
050 4 _aQA177
_b.I94 2009
082 0 4 _a512.23
_222
100 1 _aIvanov, A. A.
_q(Aleksandr Anatolievich),
_d1958-
_eauthor.
245 1 4 _aThe Monster group and Majorana involutions /
_cA.A. Ivanov.
246 3 _aThe Monster Group & Majorana Involutions
264 1 _aCambridge :
_bCambridge University Press,
_c2009.
300 _a1 online resource (xiii, 252 pages) :
_bdigital, PDF file(s).
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
490 1 _aCambridge tracts in mathematics ;
_v176
500 _aTitle from publisher's bibliographic system (viewed on 05 Oct 2015).
505 0 _aMâ‚‚â‚„ and all that -- Monster amalgam [actual symbol not reproducible] -- 196 883-representation of [actual symbol not reproducible] -- 2-local geometries -- Griess algebra -- Automorphisms of Griess algebra -- Important subgroups -- Majorana involutions -- Monster graph -- Fischer's story.
520 _aThis is the first book to contain a rigorous construction and uniqueness proof for the largest and most famous sporadic simple group, the Monster. The author provides a systematic exposition of the theory of the Monster group, which remains largely unpublished despite great interest from both mathematicians and physicists due to its intrinsic connection with various areas in mathematics, including reflection groups, modular forms and conformal field theory. Through construction via the Monster amalgam - one of the most promising in the modern theory of finite groups - the author observes some important properties of the action of the Monster on its minimal module, which are axiomatized under the name of Majorana involutions. Development of the theory of the groups generated by Majorana involutions leads the author to the conjecture that Monster is the largest group generated by the Majorana involutions.
650 0 _aSporadic groups (Mathematics)
650 0 _aInvolutes (Mathematics)
776 0 8 _iPrint version:
_z9780521889940
830 0 _aCambridge tracts in mathematics ;
_v176.
856 4 0 _uhttps://doi.org/10.1017/CBO9780511576812
999 _c518168
_d518166