cycle group

noun

The kernel of the kᵗʰ boundary homomorphism (of a given chain complex).

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Meanings

nounkth cycle group (plural cycle groups)

plural cycle groups

  1. algebraic topologyThe kernel of the kᵗʰ boundary homomorphism (of a given chain complex).
Cite this entry
APA

cycle group. (n.d.). In WatkinsX Dictionary. Retrieved November 3, 2026, from https://dictionary.watkinsx.com/word/cycle%20group

MLA

“cycle group.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/cycle%20group. Accessed November 3, 2026.

Chicago

WatkinsX Dictionary, s.v. “cycle group,” accessed November 3, 2026, https://dictionary.watkinsx.com/word/cycle%20group.

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