Add to ORKGWe show that elementary abelian direct factors can be disregarded in the study of the modular isomorphism problem. Moreover, we obtain four new series of abelian invariants of the group base in the modular group algebra of a finite $p$-group. Finally, we apply our results to new classes of groups.Comment: 23 pages, correction of Lemma 4.2 from previous versio
We construct non-isogenous simple ordinary abelian varieties over an algebraic closure of a finite f...
We compute the $RO(A)$-graded coefficients of $A$-equivariant complex and real topological $K$-theor...
Let a commutative ring R be a direct product of indecomposable rings with identity and let G be a fi...
We study the Modular Isomorphism Problem applying a combination of existing and new techniques. We m...
It is an open problem whether the isomorphism class of a finite p-group is determined by its group r...
Let $p$ be a an odd prime and let $G$ be a finite $p$-group with cyclic commutator subgroup $G'$. We...
Let G be a finite p-group. The problem whether (the isomorphism class of) G is determined by its gro...
We show that the isomorphism class of a finite p-group G is determined by the group algebra of G ove...
We show that the isomorphism class of a finite p-group G is determined by the group algebra of G ove...
AbstractThis article contains reduction theorems for some weaker variants of Donovan's conjecture, w...
This book covers the modular invariant theory of finite groups, the case when the characteristic of ...
summary:We show that a finite nonabelian characteristically simple group $G$ satisfies $n=|\pi (G)|+...
AbstractLet F be a perfect field of characteristic p and let G be an arbitrary abelian p-group. The ...
We obtain a classification of the finite two-generated cyclic-by-abelian groups of prime-power order...
Key words: isomorphisms, direct factors, simply presented groups, p-mixed groups, p-splittin
We construct non-isogenous simple ordinary abelian varieties over an algebraic closure of a finite f...
We compute the $RO(A)$-graded coefficients of $A$-equivariant complex and real topological $K$-theor...
Let a commutative ring R be a direct product of indecomposable rings with identity and let G be a fi...
We study the Modular Isomorphism Problem applying a combination of existing and new techniques. We m...
It is an open problem whether the isomorphism class of a finite p-group is determined by its group r...
Let $p$ be a an odd prime and let $G$ be a finite $p$-group with cyclic commutator subgroup $G'$. We...
Let G be a finite p-group. The problem whether (the isomorphism class of) G is determined by its gro...
We show that the isomorphism class of a finite p-group G is determined by the group algebra of G ove...
We show that the isomorphism class of a finite p-group G is determined by the group algebra of G ove...
AbstractThis article contains reduction theorems for some weaker variants of Donovan's conjecture, w...
This book covers the modular invariant theory of finite groups, the case when the characteristic of ...
summary:We show that a finite nonabelian characteristically simple group $G$ satisfies $n=|\pi (G)|+...
AbstractLet F be a perfect field of characteristic p and let G be an arbitrary abelian p-group. The ...
We obtain a classification of the finite two-generated cyclic-by-abelian groups of prime-power order...
Key words: isomorphisms, direct factors, simply presented groups, p-mixed groups, p-splittin
We construct non-isogenous simple ordinary abelian varieties over an algebraic closure of a finite f...
We compute the $RO(A)$-graded coefficients of $A$-equivariant complex and real topological $K$-theor...
Let a commutative ring R be a direct product of indecomposable rings with identity and let G be a fi...