The maximal quotient rings of regular group rings (III).

Ferran Cedó

Displaying similar documents to “The maximal quotient rings of regular group rings (III).”

Maximal quotient rings and essential right ideals in group rings of locally finite groups.

Ferrán Cedó, Brian Hartley (1992)

Publicacions Matemàtiques

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Let k be a commutative field. Let G be a locally finite group without elements of order p in case char k = p > 0. In this paper it is proved that the type I part of the maximal right quotient ring of the group algebra kG is zero.

Sylow P-Subgroups of Abelian Group Rings

Danchev, P. (2003)

Serdica Mathematical Journal

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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...