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Somep-groups of Frobenius and extra-special type

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Abstract

Finitep-groupsG are considered having a normal subgroupH ≠ 1 with this property: ifx ∈G/H andz ∈H thenx is conjugate inG toxz. Some theory is developed, and reasonably complicated examples of classes 2 and 3 are constructed.

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Authors and Affiliations

  1. Department of Mathematics, University of Stirling, Stirling, Scotland

    I. D. Macdonald

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  1. I. D. Macdonald
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Macdonald, I.D. Somep-groups of Frobenius and extra-special type. Israel J. Math. 40, 350–364 (1981). https://doi.org/10.1007/BF02761376

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  • DOI: https://doi.org/10.1007/BF02761376

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