Klein quartic

noun

A compact Riemann surface of genus 3 with the highest possible order automorphism group for this genus, namely order 168 orientation-preserving automorphisms, and 336 automorphisms if orientation may be reversed.

Ask AI about this wordChatGPTClaudePerplexityGoogle AIGrok

Meanings

nounKlein quartic (plural Klein quartics)

plural Klein quartics

  1. A compact Riemann surface of genus 3 with the highest possible order automorphism group for this genus, namely order 168 orientation-preserving automorphisms, and 336 automorphisms if orientation may be reversed.

Origin

Named after German mathematician Felix Klein, who described it in 1878.

Full word history & related roots →
Cite this entry
APA

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

MLA

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

Chicago

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

Source: Klein quartic on Wiktionary, CC BY-SA 4.0.