000 02008 a2200253 4500
999 _c51881
_d51881
008 191219b ||||| |||| 00| 0 eng d
020 _a9781848009875
082 _a512.23 WIL
100 _aWilson, Robert A.
245 _aFinite simple groups
260 _bSpringer,
_c2009
_aLondon:
300 _axv, 298p.
_bhb;
_c24 cm
365 _aEURO
_b49.95
440 _aGraduate texts in mathematics, 0072-5285; Vol.251
520 _aThe finite simple groups are the building blocks from which all the finite groups are made and as such they are objects of fundamental importance throughout mathematics. The classification of the finite simple groups was one of the great mathematical achievements of the twentieth century, yet these groups remain difficult to study, which hinders applications of the classification." "This textbook brings the finite simple groups to life by giving concrete constructions of most of them, sufficient to illuminate their structure and permit real calculations both in the groups themselves and in the underlying geometrical or algebraic structures. This is the first time that all the finite simple groups have been treated together in this way and the book points out their connections, for example between exceptional behaviour of generic groups and the existence of sporadic groups, and discusses a number of new approaches to some of the groups. Many exercises of varying difficulty are provided." "The Finite Simple Groups is aimed at advanced undergraduate and graduate students in algebra as well as professional mathematicians and scientists who use groups and want to apply the knowledge which the classification has given us. The main prerequisite is an undergraduate course in group theory up to the level of Sylow's theorems.
650 _aTopological Groups.
650 _aLie Groups.
650 _aMathematics
650 _aFinite Simple Groups
650 _aGeneralizations
650 _aAlgebra
650 _aGroup Theory
942 _2ddc
_cTD