English

On planar right groups

Combinatorics 2014-12-30 v2

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 semigroups have a planar Cayley graph. Right groups are a class of semigroups relatively close to groups. We present a complete characterization of planar right groups.

Cite

@article{arxiv.1309.5236,
  title  = {On planar right groups},
  author = {Kolja Knauer and Ulrich Knauer},
  journal= {arXiv preprint arXiv:1309.5236},
  year   = {2014}
}

Comments

16 pages, 9 figures

R2 v1 2026-06-22T01:30:53.986Z