Group theory, Volume 2 |
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Contents
Chapter | 1 |
2 Nilpotent Groups | 13 |
Fundamental Theorems 86 | 18 |
Copyright | |
27 other sections not shown
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Common terms and phrases
7r-group A-invariant abelian group abelian normal subgroup abelian subgroup assumption automorphism central product central series CG(A CG(t CG(u CG(x Chapter characteristic subgroup Clearly commutator subgroup conjugacy classes conjugate contradicts coset cyclic group defined definition denote derived group direct product element g element of G element of order elementary abelian extraspecial factor group finite group following propositions Frobenius functor G contains G satisfies group G group of order H of G Hence Hint holds homomorphism implies inductive hypothesis integer involution irreducible characters irreducible representation Let G Let H matrix maximal subgroup minimal normal subgroup NG(P NG(Q nilpotent group nonabelian noncyclic nonidentity element nontrivial odd order Op(G p-group p-nilpotent p-solvable p-stable proof of Theorem proper subgroup Prove the following quaternion group satisfies condition shows simple group solvable group Sp-subgroup of G subgroup H subgroup of G subgroup of order subset subspace Suppose Sylow Sylow subgroup ZJ(P
Bibliographic information
| Title | Group theory, Volume 2 Grundlehren der mathematischen Wissenschaften Group Theory, Michio Suzuki Volume 247 of Grundlehren der mathematischen Wissenschaften in Einzeldarstellungen mit besonderer Berücksichtigung der Anwendungsgebiete |
| Author | Michio Suzuki |
| Edition | illustrated |
| Publisher | Springer-Verlag, 1986 |
| Original from | the University of Michigan |
| Digitized | Aug 28, 2010 |
| ISBN | 0387109161, 9780387109169 |
| Length | 621 pages |
| Subjects | › › Group theory Groups, Theory of Mathematics / Algebra / Abstract Mathematics / Algebra / General Mathematics / Group Theory |
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