Direct decompositions and basic subgroups in commutative group rings

Peter Vassilev Danchev

Displaying similar documents to “Direct decompositions and basic subgroups in commutative group rings”

Subgroups of the basic subgroup in a modular group ring

Peter Vassilev Danchev (2005)

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The Artin exponent of finite groups

Kenneth K. Nwabueze (1997)

Acta Mathematica et Informatica Universitatis Ostraviensis

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On some invariants preserved by isomorphisms of tables of marks.

Huerta-Aparicio, Luis, Molina-Rueda, Ariel, Raggi-Cárdenas, Alberto, Valero-Elizondo, Luis (2009)

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Sylow P-Subgroups of Abelian Group Rings

Danchev, P. (2003)

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2000 Mathematics Subject Classification: Primary 20C07, 20K10, 20K20, 20K21; Secondary 16U60, 16S34. Let PG be the abelian modular group ring of the abelian group G over the abelian ring P with 1 and prime char P = p. In the present article,the p-primary components Up(PG) and S(PG) of the groups of units U(PG) and V(PG) are classified for some major classes of abelian groups. Suppose K is a first kind field with respect to p in char K ≠ p and A is an abelian p-group. In the...

Square subgroups of rank two abelian groups

A. M. Aghdam, A. Najafizadeh (2009)

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Let G be an abelian group and ◻ G its square subgroup as defined in the introduction. We show that the square subgroup of a non-homogeneous and indecomposable torsion-free group G of rank two is a pure subgroup of G and that G/◻ G is a nil group.

The determination of abelian Hall subgroups by a conjugacy class structure.

Wolfgang Kimmerle, Robert Sandling (1992)

Publicacions Matemàtiques

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The object of this article is to show that a Jordan-Hölder class structure of a finite group determines abelian Hall subgroups of the group up to isomorphism. The proof uses this classification of the finite simple groups.