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Miller, G. A.

Theory and applications of finite groups / G. A. Miller, H. F. Blichfeldt and Leonard E. Dickson - 1st - New Delhi: Maven Books, 2022. - xvii, 390 p.: 24 cm.

Part. I. Substitution and abstract groups.
Chapter:
I.Examples of groups and fundamental definitions
II.Substitution groups and Sylow's theorem
III. Fundamental definitions and theorems of abstract groups
IV. Abelian Groups
V. Groups whose orders are powers of prime numbers
VI. Groups having simple abstract definitions
VII. Isomorphisms
VIII. Solvable groups
Part. II. Finite groups of linear homogeneous transformations
Chapter:
IX. Preliminary theorems
X. The linear groups in two variables
XI. Some special types of groups
XII. The linear groups in three variables
XIII. Group characteristics
Part. III. Applications of finite groups
Chapter
XIV. The group of an algebraic equation for a given domain
XV. Sufficient condition that an algebraic equation be solvable by radicals
XVI. Necessary condition that an algebraic equation be solvable by radicals
XVII. Constructions with ruler and compasses
XVIII. The inflexion points of a plane cubic curve
XIX. The 27 straight lines on a general cubic surface and the 28 bitangents to a general quartic curve
XX. Monodromie group

ISBN: 9789355280138

Subjects--Topical Terms:
Endliche Gruppe , Group theory

Dewey Class. No.: 512.2 / MIL