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On subgroups of finite soluble groups III

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Abstract

We define a notion of generalized normality for subgroups of finite soluble groups. We show that a normalizer relative to this notion exists and is homomorphism-invariant. We make comparisons with previous constructions, and develop briefly a general theory of normality relations and normalizers.

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Authors and Affiliations

  1. The Hebrew University of Jerusalem, Jerusalem, Israel

    Avinoam Mann

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  1. Avinoam Mann
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Mann, A. On subgroups of finite soluble groups III. Israel J. Math. 16, 446–451 (1973). https://doi.org/10.1007/BF02756729

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  • DOI: https://doi.org/10.1007/BF02756729

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