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Linear groups : with an exposition of the Galois field theory

Author: Leonard E Dickson
Publisher: New York : Dover Publications, 1958.
Edition/Format:   Print book : EnglishView all editions and formats
Database:WorldCat
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Additional Physical Format: Online version:
Dickson, Leonard E. (Leonard Eugene), 1874-
Linear groups.
New York, Dover Publications [1958]
(OCoLC)630977243
Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: Leonard E Dickson
ISBN: 0486604829 9780486604824
OCLC Number: 274645
Notes: Includes index.
Description: xvi, 312 pages : diagrams ; 21 cm
Contents: pt. I. Introduction to the Galois Field theory. Definition and properties of finite fields --
Proof of the existence of the GF[p[superscript m]] for every prime p and integer m --
Classification and determination of irreducible quantics --
Miscellaneous properties of Galois Fields --
Analytic representation of substitutions on the marks of a Galois Field --
pt. II. Theory of linear groups in a Galois Field. General linear homogeneous group --
The Abelian linear group --
A generalization of the Abelian linear group --
The hyperabelian group --
The hyperorthogonal and related linear groups --
The compounds of a linear homogeneous group --
Linear homogeneous group in the GF[p[superscript n]], p>2, defined by a quadratic invariant --
Linear homogeneous group in the GF[2[superscript n]] defined by a quadratic invariant --
Linear groups with certain invariants of degree q>2 --
Canonical form and classification of linear substitutions --
Operators and cyclic subgroups of the simple group LF(3, p[superscript n]) --
Subgroups of the linear fractional group LF(2, p[superscript n]) --
Auxiliary theorems on abstract groups. Abstract forms of various linear groups --
Group of the equation for the 27 straight lines on a general surface of the third order --
Summary of the known systems of simple groups.
Responsibility: Leonard Eugene Dickson ; with an introduction by Wilhelm Magnus.

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