Finite approximation of free groups II: the Theorems of Ash, Herwig-Lascar and Ribes-Zalesskii -- revisited and strengthened

2025/07/15 by Auinger, K., Bitterlich, J., Otto, M. · 1 citation
#03C52 #05C25 #05E18 #20B25 #20M18 #Combinatorics (math.CO) #FOS: Mathematics #Group Theory (math.GR) #Logic (math.LO)

paper · doi:10.48550/arxiv.2507.11685

Abstract

Relations and interactions between the theorems of Ash, Herwig-Lascar and Ribes-Zalesskii are discussed and it is shown that these three theorems are equivalent in the sense that each of them can be derived from each other one. Some strengthening of these theorems that can be obtained by use of the groups provided by the third author's construction are also considered.

Cited by

• The Ribes-Zalesskiĭ product theorem via foldings and extensions

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