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math.GR2026
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…
math.GR2025
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…