4 papers
The twisted group ring isomorphism problem over fields
L. Margolis, O. Schnabel
Similarly to how the classical group ring isomorphism problem asks, for a commutative ring , which information about a finite group is encoded in the group ring , the tw…
The Herzog-Schönheim Conjecture for small groups and harmonic subgroups
Leo Margolis, Ofir Schnabel
We prove that the Herzog-Schönheim Conjecture holds for any group of order smaller than . In other words we show that in any non-trivial coset partition $\{g_i U_i\}_{i=1…
A different approach to the Fraenkel Conjecture for low values
Ofir Schnabel, Jamie Simpson
We present a new approach to deal with Fraenkel's conjecture, which describes how the integers can be partitioned into sets of rational Beatty sequences, in the case where the nume…
Groups of central type, maximal Connected Gradings and Intrinsic Fundamental Groups of Complex Semisimple Algebras
Yuval Ginosar, Ofir Schnabel
Maximal connected grading classes of a finite-dimensional algebra are in one-to-one correspondence with Galois covering classes of which admit no proper Galois covering and…