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The Theory of Groups

Marshall Hall, Jr.
Publisher: 
American Mathematical Society/Chelsea
Publication Date: 
1999
Number of Pages: 
434
Format: 
Hardcover
Edition: 
3
Price: 
45.00
ISBN: 
0-8218-1967-4
Category: 
Textbook
BLL Rating: 

The Basic Library List Committee considers this book essential for undergraduate mathematics libraries.

[Reviewed by
BLL Committee
, on
12/12/2008
]


  • Introduction
  • Normal subgroups and homomorphisms
  • Elementary theory of abelian groups
  • Sylow theorems
  • Permutation groups
  • Automorphisms
  • Free groups
  • Lattices and composition series
  • A theorem of Frobenius; solvable groups
  • Supersolvable and nilpotent groups
  • Basic commutators
  • The theory of $p$-groups; regular $p$-groups
  • Further theory of abelian groups
  • Monomial representations and the transfer
  • Group extensions and cohomology of groups
  • Group representation
  • Free and amalgamated products
  • The Burnside problem
  • Lattices of subgroups
  • Group theory and projective planes
  • Bibliography
  • Index
  • Index of special symbols