On omega-categorical groups and rings of finite burden

2018/06/27 by Frank Olaf Wagner, Wagner, Frank Olaf, Jan Dobrowolski +1
Mathematics · #FOS: Mathematics #Group Theory (math.GR) #Logic (math.LO) #math.GR #math.LO

paper · pdf · doi:10.48550/arxiv.1806.10462

arxiv created 2018/11/21 · arxiv updated 2018/11/22

Abstract

An ω-categorical group of finite burden is virtually finite-by-abelian; an ω-categorical ring of finite burden is virtually finite-by-null; an ω-categorical NTP2 ring is virtually nilpotent.

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