The packing property

2000 ◽  
Vol 89 (1) ◽  
pp. 113-126 ◽  
Author(s):  
Gérard Cornuéjols ◽  
Bertrand Guenin ◽  
François Margot
Keyword(s):  
2017 ◽  
Vol 217 (1) ◽  
pp. 263-281 ◽  
Author(s):  
Daniel T. Wise ◽  
Daniel J. Woodhouse
Keyword(s):  

2001 ◽  
Vol 46 (4) ◽  
pp. 457-463
Author(s):  
Manav Das
Keyword(s):  

2015 ◽  
Vol 25 (05) ◽  
pp. 917-926
Author(s):  
Pranab Sardar

We show that any subgroup of a (virtually) nilpotent-by-polycyclic group satisfies the bounded packing property of Hruska–Wise [Packing subgroups in relatively hyperbolic groups, Geom. Topol. 13 (2009) 1945–1988]. In particular, the same is true for all finitely generated subgroups of metabelian groups and linear solvable groups. However, we find an example of a finitely generated solvable group of derived length 3 which admits a finitely generated metabelian subgroup without the bounded packing property. In this example the subgroup is a retract also. Thus we obtain a negative answer to Problem 2.27 of the above paper. On the other hand, we show that polycyclic subgroups of solvable groups satisfy the bounded packing property.


1973 ◽  
Vol 93 (9) ◽  
pp. 1112-1115 ◽  
Author(s):  
YASUO MIYAKE ◽  
AISHIN SHINODA ◽  
MASAHARU FURUKAWA ◽  
CHIKAE SADAKATA ◽  
SHOJI TOYOSHIMA

2021 ◽  
Vol 9 (39) ◽  
pp. 13687-13696
Author(s):  
Peigen Yao ◽  
Yixuan Wang ◽  
Weiguo Qiao ◽  
Xianglang Sun ◽  
Haiyan Peng ◽  
...  

A structure–packing–property relationship study of fluorenone-based molecules indicates that the formation of a three-dimensional molecular packing network is an effective way to suppress molecular motions to achieve AIE properties.


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