English

Embeddability of right-angled Artin groups on the complements of linear forests

Group Theory 2017-10-10 v1

Abstract

In this article, we prove that embeddings of right-angled Artin group A1A_1 on the complement of a linear forest into another right-angled Artin group A2A_2 can be reduced to full embeddings of the defining graph of A1A_1 into the extension graph of the defining graph of A2A_2.

Keywords

Cite

@article{arxiv.1710.02797,
  title  = {Embeddability of right-angled Artin groups on the complements of linear forests},
  author = {Takuya Katayama},
  journal= {arXiv preprint arXiv:1710.02797},
  year   = {2017}
}

Comments

9 pages with 1 figure