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Demushkin groups

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Abstract

Let G be a finitely generated pro-p-group with d=dG>1 generators and a single defining relation. Then, if G is not a Demushkin group, G contains a maximal subgroup with more than p (d−2)+2 generators.

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Literature cited

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Authors and Affiliations

  1. Lensistemotekhnika Scientific-Technical and Planning Union, USSR

    I. V. Andozhskii

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  1. I. V. Andozhskii
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Translated from Matematicheskie Zametki, Vol. 14, No. 1, pp. 121–126, July, 1973.

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Andozhskii, I.V. Demushkin groups. Mathematical Notes of the Academy of Sciences of the USSR 14, 626–628 (1973). https://doi.org/10.1007/BF01095783

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  • DOI: https://doi.org/10.1007/BF01095783

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