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Theory and applications of finite groups

Author: G A Miller; H F Blichfeldt; Leonard E Dickson
Publisher: New York : G.E. Stechert, 1938.
Edition/Format:   Print book : EnglishView all editions and formats
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Additional Physical Format: Online version:
Miller, G.A. (George Abram), 1863-1951.
Theory and applications of finite groups.
New York, G.E. Stechert, 1938
(OCoLC)609483438
Document Type: Book
All Authors / Contributors: G A Miller; H F Blichfeldt; Leonard E Dickson
OCLC Number: 1277692
Notes: "Reprint of 1916 edition with corrections."
Includes index.
Description: xvii, 390 pages : illustrations ; 23 cm
Contents: pt. I. Substitution and abstract groups. Examples of groups and fundamental definitions --
Substitution groups and Sylow's theorem --
Fundamental definitions and theorems of abstract groups --
Abelian Groups --
Groups whose orders are powers of prime numbers --
Groups having simple abstract definitions --
Isomorphisms --
Solvable groups --
pt. II. Finite groups of linear homogeneous transformations. Preliminary theorems --
The linear groups in two variables --
Some special types of groups --
The linear groups in three variables --
Group characteristics --
pt. III. Applications of finite groups. The group of an algebraic equation for a given domain --
Sufficient condition that an algebraic equation be solvable by radicals --
Necessary condition that an algebraic equation be solvable by radicals --
Constructions with ruler and compasses --
The inflexion points of a plane cubic curve --
The 27 straight lines on a general cubic surface and the 28 bitangents to a general quartic curve --
Monodromie group.
Other Titles: Finite groups.
Responsibility: by G.A. Miller, H.F. Blichfeldt, L.E. Dickson.

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