LEADER 00000nam a2200373 i 4500 
001    CR9780511665585 
003    UkCbUP 
005    20181024165311.0 
006    m     o  d         
007    cr nn 008maaau 
008    091217s1994    enk     s         0 eng d 
020    9780511665585|q(electronic bk.) 
020    9780521420495|q(hardback) 
020    9780521056861|q(paper) 
040    UkCbUP|beng|erda|cUkCbUP|dGP 
041 0  eng 
050  4 QA177|b.A83 1994 
082 04 512.2|220 
100 1  Aschbacher, Michael,|d1944-|eauthor 
245 10 Sporadic groups /|cMichael Aschbacher 
264  1 Cambridge :|bCambridge University Press,|c1994 
300    1 online resource (xii, 314 pages) :|bdigital, PDF file(s)
336    text|btxt|2rdacontent 
337    unmediated|bn|2rdamedia 
338    volume|bnc|2rdacarrier 
347    text file|bPDF|2rda 
490 1  Cambridge tracts in mathematics ;|v104 
500    Title from publisher's bibliographic system (viewed on 05 
       Oct 2015) 
505 2  1. Preliminary Results -- 2. 2-Structure in Finite Groups 
       -- 3. Algebras, Codes, and Forms -- 4. Symplectic 2-Loops 
       -- 5. The Discovery, Existence, and Uniqueness of the 
       Sporadics -- 6. The Mathieu Groups, Their Steiner Systems,
       and the Golay Code -- 7. The Geometry and Structure of 
       M[subscript 24] -- 8. The Conway Groups and the Leech 
       Lattice -- 9. Subgroups of [actual symbol not 
       reproducible] -- 10. The Griess Algebra and the Monster --
       11. Subgroups of Groups of Monster Type -- 12. Coverings 
       of Graphs and Simplicial Complexes -- 13. The Geometry of 
       Amalgams -- 14. The Uniqueness of Groups of Type 
       M[subscript 24], He, and L[subscript 5](2) -- 15. The 
       Group U[subscript 4](3) -- 16. Groups of Conway, Suzuki, 
       and Hall-Janko Type -- 17. Subgroups of Prime Order in 
       Five Sporadic Groups 
520    Sporadic Groups is the first step in a programme to 
       provide a uniform, self-contained treatment of the 
       foundational material on the sporadic finite simple 
       groups. The classification of the finite simple groups is 
       one of the premier achievements of modern mathematics. The
       classification demonstrates that each finite simple group 
       is either a finite analogue of a simple Lie group or one 
       of 26 pathological sporadic groups. Sporadic Groups 
       provides for the first time a self-contained treatment of 
       the foundations of the theory of sporadic groups 
       accessible to mathematicians with a basic background in 
       finite groups such as in the author's text Finite Group 
       Theory. Introductory material useful for studying the 
       sporadics, such as a discussion of large extraspecial 2-
       subgroups and Tits' coset geometries, opens the book. A 
       construction of the Mathieu groups as the automorphism 
       groups of Steiner systems follows. The Golay and Todd 
       modules, and the 2-local geometry for M24 are discussed. 
       This is followed by the standard construction of Conway of
       the Leech lattice and the Conway group. The Monster is 
       constructed as the automorphism group of the Griess 
       algebra using some of the best features of the approaches 
       of Griess, Conway, and Tits, plus a few new wrinkles. 
       Researchers in finite group theory will find this text 
       invaluable. The subjects treated will interest 
       combinatorists, number theorists, and conformal field 
650  0 Sporadic groups (Mathematics) 
830  0 Cambridge tracts in mathematics ;|v104 
856 40 |uhttps://doi.org/10.1017/CBO9780511665585