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On finitary linear groups with a locally nilpotent maximal subgroup

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Abstract.

We prove that a group G of finitary permutations, containing a locally nilpotent maximal subgroup M is locally solvable if M is not a 2-group. We also prove that the same is true if G is a periodic, non-modular, finitary linear group.

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Authors and Affiliations

  1. Dipartimento di Matematica, Pura ed Applicata, Università di Padova, Via Belzoni 7, I-35131 Padova, Italy, , , , , , IT

    B. Bruno, M. Dalle Molle & F. Napolitani

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  1. B. Bruno
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  2. M. Dalle Molle
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  3. F. Napolitani
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Received: 14.12.1999

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Bruno, B., Dalle Molle, M. & Napolitani, F. On finitary linear groups with a locally nilpotent maximal subgroup. Arch. Math. 76, 401–405 (2001). https://doi.org/10.1007/PL00000450

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  • DOI: https://doi.org/10.1007/PL00000450

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