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) are counterexamples . Suppose one imposes some rigidity by assuming that the isomorphisms between the groups send the center onto the center. Now it turns out that the groups are isomorphic . It is clear that instead ...
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 ...
of interest, including when $$\pi _1(V)$$ is a Poincaré duality group , or when $$\pi _1(V)$$ does not contain a subgroup isomorphic to $$\mathbb Z^3$$, see Section 6. The structure of the paper is as follows ...
of classes of groups , as for example locally finite groups [13], polycyclic groups [38] and more generally elementary amenable groups [14], [19], CAT(0)- groups [36], [15], linear groups [12], hyperbolic groups ...
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