Isomorphe Gruppenringe lokal endlicher Gruppen.
Isomorphism of commutative group algebras of -mixed splitting groups over rings of characteristic zero
Suppose is a -mixed splitting abelian group and is a commutative unitary ring of zero characteristic such that the prime number satisfies . Then and are canonically isomorphic -group algebras for any group precisely when and are isomorphic groups. This statement strengthens results due to W. May published in J. Algebra (1976) and to W. Ullery published in Commun. Algebra (1986), Rocky Mt. J. Math. (1992) and Comment. Math. Univ. Carol. (1995).
Isomorphism of Commutative Modular Group Algebras
∗ The work was supported by the National Fund “Scientific researches” and by the Ministry of Education and Science in Bulgaria under contract MM 70/91.Let K be a field of characteristic p > 0 and let G be a direct sum of cyclic groups, such that its torsion part is a p-group. If there exists a K-isomorphism KH ∼= KG for some group H, then it is shown that H ∼= G. Let G be a direct sum of cyclic groups, a divisible group or a simply presented torsion abelian group. Then KH ∼= KG as K-algebras...
Isomorphism of modular group algebras of direct sums of torsion-complete abelian -groups
Isomorphism of noncommutative group algebras of torsion-free groups over a field.
Isomorphisms and automorphisms of integral group rings
Isomorphisms of p-adic Group Rings.
Jordan type of a -module.
K2 of p-Adic Group Rings of Abelian p-Groups.
Kummer type system of congruences and bases of Stickelberger subideals
Lie solvable groups algebras of derived length three.
Let K be a field of characteristic p > 2 and let G be a group. Necessary and sufficient conditions are obtained so that the group algebra KG is strongly Lie solvable of derived length at most 3. It is also shown that these conditions are equivalent to KG Lie solvable of derived length 3 in characteristic p ≥ 7.
Local structure of the p-Blocks of ...n.
Logarithmic Descriptions of K1' (Zp G) and Classgroups of Symmetric Groups.
Lower central series, augmentation quotients and homology of groups.
Maximal quotient rings and essential right ideals in group rings of locally finite groups.
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.
Modules in the sources of Green's exact sequences for cyclic blocks.
Modules over Group Algebras and Their Application in the Study of Semi -Simplicity.
Modules over group rings of soluble groups with a certain condition of maximality
Let A be an R G-module, where R is an integral domain and G is a soluble group. Suppose that C G(A) = 1 and A/C A(G) is not a noetherian R-module. Let L nnd(G) be the family of all subgroups H of G such that A/C A(H) is not a noetherian R-module. In this paper we study the structure of those G for which L nnd(G) satisfies the maximal condition.
Modules sur certains anneaux de Dedekind.
More on the Schur group of a commutative ring.