Ultraproducts of quasirandom groups with small cosocles

Yilong Yang
2016 Journal of group theroy  
AbstractATwo applications of our results are given, one in triangle patterns inside quasirandom groups and one in self-bohrifying groups. Our main tools are some variations of the covering number for groups, different kinds of length functions on groups, and the classification of finite simple groups.
doi:10.1515/jgth-2016-0012 fatcat:sv6iovhyu5dvfgk55gprcqy4yq