000 01924nam a2200289Ia 4500
003 OSt
005 20251119121337.0
008 220909b |||||||| |||| 00| 0 eng d
020 _a9781107008540
037 _cTextual
040 _aCSL
_beng
_cCSL
041 _aeng
084 _aB271 Q1 TB
_qCSL
100 _aMalle, Gunter
_eauthor
_9852267
245 0 _aLinear Algebraic Groups and Finite Groups of Lie Type
260 _aCambridge :
_bCambridge ,
_c2011 .
300 _axiv,309p.
490 _acambridge studies in advanced mathematics
500 _aIncluded References 301-304p.; Index 305-309p.
520 _aOriginating from a summer school taught by the authors, this concise treatment includes many of the main results in the area. An introductory chapter describes the fundamental results on linear algebraic groups, culminating in the classification of semisimple groups. The second chapter introduces more specialized topics in the subgroup structure of semisimple groups, and describes the classification of the maximal subgroups of the simple algebraic groups. The authors then systematically develop the subgroup structure of finite groups of Lie type as a consequence of the structural results on algebraic groups. This approach will help students to understand the relationship between these two classes of groups. The book covers many topics that are central to the subject, but missing from existing textbooks. The authors provide numerous instructive exercises and examples for those who are learning the subject as well as more advanced topics for research students working in related areas.
650 _aFinite groups.
_9852268
650 _aLinear algebraic groups.
_9852269
650 _aMathematics.
_9852270
700 _aTesterman, Donna
_eco-author
_9852271
942 _hB271 Q1 TB
_cTEXL
_2CC
_n0
999 _c7304
_d7304