The Theory of Groups

Hall, Marshall,

The Theory of Groups / Marshall Hall - Mineola, New York : Dover Publications, 2018 - xiii, 434p. 24cm.

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.

This 1959 text offers an unsurpassed resource for learning and reviewing the basics of a fundamental and ever-expanding area. ""This remarkable book undoubtedly will become a standard text on group theory.""--American Scientist

9780486816906

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Mathematics
Algebra
Group theory.
MATHEMATICS -- Group Theory.

512.86 HAL

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