| ADJ | commensurable | more commensurable | most commensurable |
ADJ positive | comparative | superlative
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Usage Examples English
- Any finite-index subgroup of a lattice is also a lattice in the same group. More generally, a subgroup commensurable to a lattice is a lattice.
- There exist examples which are not commensurable to any of the previous constructions (for instance groups acting geometrically on hyperbolic buildings).
- A consequence of Mostow rigidity of interest in geometric group theory is that there exist hyperbolic groups which are quasi-isometric but not commensurable to each other.
- A rectangle has commensurable sides if and only if it is tileable by a finite number of unequal squares. The same is true if the tiles are unequal isosceles right triangles.
- Two path-connected topological spaces are sometimes said to be "commensurable" if they have homeomorphic finite-sheeted covering spaces.
- If two Zariski-dense subgroups of [...] are commensurable then they have the same trace field in this sense.
- In this tiling, isometric copies of [...] appear in infinitely many orientations (this is due to the angles [...] and [...] of [...] , both non-commensurable with [...]).
- This generates 171 moonshine groups within [...] associated with [...] that are principal moduli for different genus zero congruence groups commensurable with the projective linear group [...].
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Contains translations by TU Chemnitz and Mr Honey's Business Dictionary (German-English only).
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