Glebsky–Rivera Martínez's weak soficity conjecture
Glebsky–Rivera Martínez's weak soficity conjecture
A weakly sofic group is a subgroup of a metric ultraproduct of an arbitrary family of finite groups equipped with bi-invariant metrics. Glebsky–Rivera Martínez's weak soficity conjecture. Every group is weakly sofic. The conjecture links weak soficity to the investigation of Herwig and Lascar and broadens the class of finite-group approximation properties considered in the survey. The source gives no resolution here.
Sources & referencesView supporting material
Primary source
Vladimir G. Pestov, “Hyperlinear and sofic groups: a brief guide”, arXiv:0804.3968 (2008).
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