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Injective restriction of characters

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Abstract

Suppose that G is a finite group and let H be a proper subgroup of G. Then the restriction map from the characters of G to the characters of H is never injective.

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Reference

  1. I. M. Isaacs, Character Theory of Finite Groups, AMS Chelsea, Providence, 2006.

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Authors and Affiliations

  1. Department of Mathematics, University of Wisconsin, 480 Lincoln Dr., Madison, WI , 53706, USA

    I. M. Isaacs

  2. Departament de Matemàtiques, Universitat de València, 46100, Burjassot, València, Spain

    Gabriel Navarro

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  1. I. M. Isaacs
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  2. Gabriel Navarro
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Corresponding author

Correspondence to Gabriel Navarro.

Additional information

The research of Gabriel Navarro is supported by MTM2016-76196-P and Prometeo II/Generalitat Valenciana.

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Isaacs, I.M., Navarro, G. Injective restriction of characters. Arch. Math. 108, 437–439 (2017). https://doi.org/10.1007/s00013-017-1028-1

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  • DOI: https://doi.org/10.1007/s00013-017-1028-1

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