group of Lie type

noun

Usually, a finite group that is closely related to the group of rational points of a reductive linear algebraic group with values in a finite field.

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Meanings

noungroup of Lie type (plural groups of Lie type)

plural groups of Lie type

  1. group theoryUsually, a finite group that is closely related to the group of rational points of a reductive linear algebraic group with values in a finite field.

Origin

Named for their close relationship with the (infinite) Lie groups, since a compact Lie group may be viewed as the rational points of a reductive linear algebraic group over the field of real numbers.

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Cite this entry
APA

group of Lie type. (n.d.). In WatkinsX Dictionary. Retrieved November 5, 2026, from https://dictionary.watkinsx.com/word/group%20of%20Lie%20type

MLA

“group of Lie type.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/group%20of%20Lie%20type. Accessed November 5, 2026.

Chicago

WatkinsX Dictionary, s.v. “group of Lie type,” accessed November 5, 2026, https://dictionary.watkinsx.com/word/group%20of%20Lie%20type.

Source: group of Lie type on Wiktionary, CC BY-SA 4.0.