Theory and applications of finite groups / G. A. Miller, H. F. Blichfeldt and Leonard E. Dickson

By:

Miller, G. A

Contributor(s):

Blichfeldt, H. F

Material type: Text

TextLanguage: English Publication details: New Delhi: Maven Books, 2022.Edition: 1stDescription: xvii, 390 p.: 24 cmISBN:

9789355280138

Subject(s):

Endliche Gruppe , Group theory

DDC classification:

23 512.2 MIL

Contents:

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

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Holdings
Item type	Current library	Collection	Call number	Status	Date due	Barcode
General Books	CUTN Central Library Sciences	Non-fiction	512.2 MIL (Browse shelf(Opens below))	Available		46168

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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

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