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Persistent Homology of Groups by Ellis, Graham; King, Simon A. is a scholarly article available to read on EtoBox.

What is Persistent Homology of Groups about?

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.

Author

Ellis, Graham; King, Simon A.

Published

2010

Language

EN