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Leo Margolis, Ofir Schnabel, Twisted group ring isomorphism problem, The Quarterly Journal of Mathematics, Volume 69, Issue 4, December 2018, Pages 1195–1219, https://doi.org/10.1093/qmath/hay020
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Abstract
We propose and study a variation of the classical isomorphism problem for group rings in the context of projective representations. We formulate several weaker conditions following from our notion and give all logical connections between these condition by studying concrete examples. We introduce methods to study the problem and provide results for various classes of groups, including abelian groups, groups of central type, p-groups of order p4 and groups of order p2q2, where p and q denote different primes.
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