2017/06/11 by Halevi, Yatir, Hasson, Assaf · 1 citation
#FOS: Mathematics #Group Theory (math.GR) #Logic (math.LO)
paper · doi:10.48550/arxiv.1706.03376
Strongly dependent ordered abelian groups have finite dp-rank. They are precisely those groups with finite spines and |\p prime:[G:pG]=∞\|<∞. We apply this to show that if K is a strongly dependent field, then (K,v) is strongly dependent for any henselian valuation v.