A course in the theory of groups"An excellent up-to-date introduction to the theory of groups. It is general yet comprehensive, covering various branches of group theory. The 15 chapters contain the following main topics: free groups and presentations, free products, decompositions, Abelian groups, finite permutation groups, representations of groups, finite and infinite soluble groups, group extensions, generalizations of nilpotent and soluble groups, finiteness properties." --ACTA SCIENTIARUM MATHEMATICARUM |
What people are saying - Write a review
We haven't found any reviews in the usual places.
Other editions - View all
Common terms and phrases
2-transitive abelian group abelian subgroup Aut G automorphism Carter subgroups centre commutative conjugate contains coset countable cyclic groups deduce define denote direct product element of G elementary abelian equivalent Exercise extension F-representation finite group finite index finite soluble group follows Frat G free abelian free group free product Frobenius group g e G G is soluble G-module group and let group G group of order homomorphism implies induction infinite cyclic irreducible isomorphic Lemma Let G Let H locally finite group locally nilpotent group mapping matrix maximal subgroup minimal condition minimal normal subgroup module morphism nontrivial p-group p-nilpotent permutation group polycyclic group prime Proof Prove that G quotient group simple group soluble group subgroup H subgroup of G subnormal subgroups subset supersoluble Suppose that G Sylow p-subgroup system normalizer theorem torsion group torsion-free transitive transversal trivial unique write
Bibliographic information
| Title | A course in the theory of groups Volume 80 of Graduate texts in mathematics |
| Author | Derek John Scott Robinson |
| Publisher | Springer-Verlag, 1982 |
| Original from | the University of Michigan |
| Digitized | Feb 3, 2010 |
| ISBN | 0387906002, 9780387906003 |
| Length | 481 pages |
| Subjects | › Group theory Groups, Theory of Mathematics / Group Theory |
| Export Citation | BiBTeX EndNote RefMan |