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Non-abelian sharp permutationp-groups

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Abstract

A permutation groupG of finite degreed is called a sharp permutation group of type {k},k a non-negative integer, if every non-identity element ofG hask fixed points and |G|=d−k. We characterize sharp non-abelianp-groups of type {k} for allk.

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Authors and Affiliations

  1. Dipartimento di Matematica e Fisica, Università Cattolica del Sacro Cuore, Via Musei 41, I-25121, Brescia, Italy

    Clara Franchi

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  1. Clara Franchi
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Correspondence to Clara Franchi.

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Franchi, C. Non-abelian sharp permutationp-groups. Isr. J. Math. 139, 157–175 (2004). https://doi.org/10.1007/BF02787546

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  • DOI: https://doi.org/10.1007/BF02787546

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