On the structure of virtually nilpotent compact p-adic analytic groups

  title={On the structure of virtually nilpotent compact p-adic analytic groups},
  author={William Woods},
  journal={Journal of Group Theory},
  pages={165 - 188}
  • William Woods
  • Published 10 August 2016
  • Mathematics
  • Journal of Group Theory
Abstract Let G be a compact p-adic analytic group. We recall the well-understood finite radical Δ + {\Delta^{+}} and FC-centre Δ, and introduce a p-adic analogue of Roseblade’s subgroup nio ⁢ ( G ) {\mathrm{nio}(G)} , the unique largest orbitally sound open normal subgroup of G. Further, when G is nilpotent-by-finite, we introduce the finite-by-(nilpotent p-valuable) radical 𝐅𝐍 p ⁢ ( G ) {\mathbf{FN}_{p}(G)} , an open characteristic subgroup of G contained in nio ⁢ ( G ) {\mathrm{nio}(G… 
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