The Hanna Neumann conjecture for Demushkin Groups

2019/04/03 by Jaikin-Zapirain, Andrei, Shusterman, Mark
#20E18 20F69 #FOS: Mathematics #Group Theory (math.GR) #Number Theory (math.NT)

paper · doi:10.48550/arxiv.1904.02258

Abstract

We confirm the Hanna Neumann conjecture for topologically finitely generated closed subgroups U and W of a nonsolvable Demushkin group G. Namely, we show that ∑_{g ∈ U \backslash G/W} d(U ∩ gWg^-1) ≤ d(U) d(W) where d(K) = max\d(K) - 1, 0\ and d(K) is the least cardinality of a topological generating set for the group K.

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