English

Groups of order at most 6 000 generated by two elements, one of which is an involution, and related structures

Group Theory 2015-05-06 v1 Combinatorics

Abstract

A (2,*)-group is a group that can be generated by two elements, one of which is an involution. We describe the method we have used to produce a census of all (2,*)-groups of order at most 6 000. Various well-known combinatorial structures are closely related to (2,*)-groups and we also obtain censuses of these as a corollary.

Keywords

Cite

@article{arxiv.1505.00888,
  title  = {Groups of order at most 6 000 generated by two elements, one of which is an involution, and related structures},
  author = {Primož Potočnik and Pablo Spiga and Gabriel Verret},
  journal= {arXiv preprint arXiv:1505.00888},
  year   = {2015}
}

Comments

3 figures