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・ Geometric complexity theory
・ Geometric cryptography
・ Geometric data analysis
・ Geometric Description Language
・ Geometric design
・ Geometric design of roads
・ Geometric dimensioning and tolerancing
・ Geometric distribution
・ Geometric dynamic recrystallization
・ Geometric feature learning
・ Geometric finiteness
・ Geometric flow
・ Geometric function theory
・ Geometric genus
・ Geometric graph theory
Geometric group action
・ Geometric group theory
・ Geometric hashing
・ Geometric integration
・ Geometric integrator
・ Geometric invariant theory
・ Geometric Langlands correspondence
・ Geometric lathe
・ Geometric lattice
・ Geometric magic square
・ Geometric mean
・ Geometric mean theorem
・ Geometric measure of entanglement
・ Geometric measure theory
・ Geometric mechanics


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Geometric group action : ウィキペディア英語版
Geometric group action
In mathematics, specifically geometric group theory, a geometric group action is a certain type of action of a discrete group on a metric space.
==Definition==
In geometric group theory, a geometry is any proper, geodesic metric space. An action of a finitely-generated group ''G'' on a geometry ''X'' is geometric if it satisfies the following conditions:
# Each element of ''G'' acts as an isometry of ''X''.
# The action is cocompact, i.e. the quotient space ''X''/''G'' is a compact space.
# The action is properly discontinuous, with each point having a finite stabilizer.

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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