chain group

noun

A free abelian group generated by all the k-dimensional oriented simplices of a given simplicial complex.

Meanings

nounkth chain group (plural chain groups)

plural chain groups

  1. algebraic topologyA free abelian group generated by all the k-dimensional oriented simplices of a given simplicial complex.
Cite this entry
APA

chain group. (n.d.). In WatkinsX Dictionary. Retrieved November 2, 2026, from https://dictionary.watkinsx.com/word/chain%20group

MLA

“chain group.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/chain%20group. Accessed November 2, 2026.

Chicago

WatkinsX Dictionary, s.v. “chain group,” accessed November 2, 2026, https://dictionary.watkinsx.com/word/chain%20group.

Source: chain group on Wiktionary, CC BY-SA 4.0.