2 citations · 2 across the 5 of their papers we have counts for
5 papers
Geometric approach to the modular isomorphism problem: groups of order 64
Leo Margolis, Taro Sakurai
We introduce a procedure based on computational algebraic geometry to determine whether two algebras are isomorphic. We then apply it to show that if is a commutative unital ri…
Where isomorphisms of group algebras fail to lift
Leo Margolis, Taro Sakurai
Counterexamples to the Modular Isomorphism Problem were discovered recently. These are non-isomorphic finite -groups and that have isomorphic group algebras over the fie…
The Modular Isomorphism Problem over all fields
Leo Margolis, Taro Sakurai
The Modular Isomorphism Problem asks, if an isomorphism between modular group algebras of finite -groups over a field implies an isomorphism of the group bases. We explore t…
Identification of non-isomorphic 2-groups with dihedral central quotient and isomorphic modular group algebras
Leo Margolis, Taro Sakurai
The question whether non-isomorphic finite -groups can have isomorphic modular group algebras was recently answered in the negative by García-Lucas, Margolis and del Río [J. Rei…
Twisted group ring isomorphism problem and infinite cohomology groups
L. Margolis, O. Schnabel
We continue our investigation of a variation of the group ring isomorphism problem for twisted group algebras. Contrary to previous work, we include cohomology classes which do not…