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T1  - Coxeter Groups and Abstract Elementary Classes : The Right-Angled Case 
SN  -  /  
UR  - http://hdl.handle.net/10138/307407 
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A1  - Hyttinen, Tapani; Paolini, Gianluca 
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Y1  - 2019 
LA  - eng 
AB  - We study classes of right-angled Coxeter groups with respect to the strong submodel relation of a parabolic subgroup. We show that the class of all right-angled Coxeter groups is not smooth and establish some general combinatorial criteria for such classes to be abstract elementary classes (AECs), for them to be finitary, and for them to be tame. We further prove two combinatorial conditions ensuring the strong rigidity of a right-angled Coxeter group of arbitrary rank. The combination of these ... 
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KW  - classification theory; abstract elementary classes; Coxeter groups; AUTOMORPHISMS; RIGIDITY; 111 Mathematics 
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