Suzuki, Michio Group theory I. Transl. from the Japanese by the author. (English) Zbl 0472.20001 Grundlehren der Mathematischen Wissenschaften, Bd. 247. Berlin-Heidelberg-New York: Springer-Verlag. XIV, 434 p. DM 118.00; $ 55.00 (1982). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 7 ReviewsCited in 131 Documents MSC: 20-01 Introductory exposition (textbooks, tutorial papers, etc.) pertaining to group theory 20Dxx Abstract finite groups 20Exx Structure and classification of infinite or finite groups 20Fxx Special aspects of infinite or finite groups 20Gxx Linear algebraic groups and related topics 20Kxx Abelian groups 20D05 Finite simple groups and their classification 20D06 Simple groups: alternating groups and groups of Lie type 20D08 Simple groups: sporadic groups 20E05 Free nonabelian groups 20F05 Generators, relations, and presentations of groups 20G15 Linear algebraic groups over arbitrary fields 20J05 Homological methods in group theory 20J06 Cohomology of groups 20K99 Abelian groups 20K15 Torsion-free groups, finite rank Keywords:finite simple groups; double cosets; products of subgroups; modular law; normal subgroups; Jordan-Hölder theorem; automorphisms; operator groups; semi-direct products; general linear groups; lower central series; Burnside’s basis theorem; automorphism group of a p-group; Sylow p- subgroups; subnormal series; Schreier’s refinement theorem; solvable groups; poly-cyclic groups; Krull-Remak-Schmidt theorem; finitely generated abelian groups; free abelian groups; generators and relations; free groups; coset enumeration method; cohomology theory; extensions; exact sequences; cohomology groups; Schur multiplier; wreath products; torsion-free abelian groups; symmetric groups; alternating groups; geometry of linear groups; buildings; Tits systems; Weyl groups; B,N- pair; coxeter groups Citations:Zbl 0361.20001 PDF BibTeX XML OpenURL