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Groups with relatively small normalizers of primary subgroups

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Algebra and Logic Aims and scope

The structure of finite groups G is studied in which for every primary subgroup A, almost all of its automorphisms induced by elements of G are inner. Namely, for any such subgroup, the index |N(A) : A · C(A)| divides some prime number. These groups are called NSP-groups.

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Correspondence to V. A. Antonov.

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Translated from Algebra i Logika, Vol. 51, No. 5, pp. 565-578, September-October, 2012.

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Antonov, V.A. Groups with relatively small normalizers of primary subgroups. Algebra Logic 51, 375–383 (2012). https://doi.org/10.1007/s10469-012-9198-1

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  • DOI: https://doi.org/10.1007/s10469-012-9198-1

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