Introduction to the theory of groups of finite order / Robert D. Carmichael,

By: Carmichael, Robert D [autor]Material type: TextTextLanguage: English Publisher: Boston : Ginn and Company, 1937Description: xiv, 447 páginas : ilustracionesContent type: texto Media type: sin mediación Carrier type: volumenSubject(s): Grupos finitosDDC classification: 512.24 / C287
Contents:
Sets, systems, and groups -- Permutations -- Definitions of groups -- Certain permutation group -- Properties of the elements of a group -- Subgroups -- Some classes of groups -- Generators of groups -- Five fundamental theorems -- Orders of subgroups -- Miscellaneous theorems -- conjugate elements and subgroups -- Additional properties of groups in general -- Additional properties of groups in general -- Isomorphism -- Isomorphisms of a group with itself -- The holomorph of a group -- Abellian groups -- Classification of abelian groups -- Abelian groups of a given order -- Primer-power groups -- General properties -- Some self-conjugate subgroups -- Permutation groups -- Defining relations for abstract groups -- Symmetric and alternating groups -- Groups of linear transformations -- -- Galios fields -- Finite fields -- Groups of isomorphisms of abelian groups of order -- -- Finite geometries -- Collineation groups in the finite geometries -- Algebras of doubly transitive groups of degree and order -- Tactical configurations.
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Sets, systems, and groups -- Permutations -- Definitions of groups -- Certain permutation group -- Properties of the elements of a group -- Subgroups -- Some classes of groups -- Generators of groups -- Five fundamental theorems -- Orders of subgroups -- Miscellaneous theorems -- conjugate elements and subgroups -- Additional properties of groups in general -- Additional properties of groups in general -- Isomorphism -- Isomorphisms of a group with itself -- The holomorph of a group -- Abellian groups -- Classification of abelian groups -- Abelian groups of a given order -- Primer-power groups -- General properties -- Some self-conjugate subgroups -- Permutation groups -- Defining relations for abstract groups -- Symmetric and alternating groups -- Groups of linear transformations -- -- Galios fields -- Finite fields -- Groups of isomorphisms of abelian groups of order -- -- Finite geometries -- Collineation groups in the finite geometries -- Algebras of doubly transitive groups of degree and order -- Tactical configurations.

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