Persistent homology of groups
Group Theory
2012-10-25 v1
Abstract
We introduce and investigate notions of persistent homology for p-groups and for coclass trees of p-groups. Using computer techniques we show that persistent homology provides fairly strong homological invariants for p-groups of order at most 81. The strength of these invariants, and some elementary theoretical properties, suggest that persistent homology may be a useful tool in the study of prime-power groups.
Cite
@article{arxiv.1006.2237,
title = {Persistent homology of groups},
author = {Graham Ellis and Simon A. King},
journal= {arXiv preprint arXiv:1006.2237},
year = {2012}
}
Comments
12 pages, 6 figures