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- W2020472010 abstract "In this paper we show that a (non-abelian) free pro-pgroup cannot be obtained as a closed subgroup ofGLn(F), whereFis a non-archimedean local field andnis arbitrary. Using a theorem of E. I. Zel'manov we deduce some group theoretic properties of linear pro-pgroups over a local field. Our main tool is a recent theorem by Pink characterizing compact subgroups ofGLn(F)" @default.
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- W2020472010 title "A Non-abelian Free Pro- p Group Is Not Linear over a Local Field" @default.
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- W2020472010 doi "https://doi.org/10.1006/jabr.1998.7682" @default.
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