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On planar right groups

Abstract : In 1896 Heinrich Maschke characterized planar finite groups, that is groups which admit a generating system such that the resulting Cayley graph is planar. In our study we consider the question, which finite semi-groups have a planar Cayley graph. Right groups are a class of semigroups relatively close to groups. We present a complete characterization of pla-nar right groups.
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Kolja Knauer, Ulrich Knauer. On planar right groups. Semigroup Forum, Springer Verlag, 2016, 92, pp.142 - 157. ⟨10.1007/s00233-015-9688-2⟩. ⟨hal-01457892⟩

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