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On constructing CAP-subgroups in direct products

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Abstract

The cover-avoidance property and its variations have become central in the study of finite groups. Along with this widespread attention comes a need to construct examples and counterexamples. The main goal of this work is to apply the theory of direct products to systematically facilitate such constructions.

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Acknowledgements

The author wishes to thank the referee for their assistance and helpful suggestions.

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  1. Alfred University, 1 Saxon Drive, Alfred, NY, 14802, USA

    Joseph Petrillo

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  1. Joseph Petrillo
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Correspondence to Joseph Petrillo.

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Petrillo, J. On constructing CAP-subgroups in direct products. Arch. Math. 115, 611–618 (2020). https://doi.org/10.1007/s00013-020-01521-9

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  • DOI: https://doi.org/10.1007/s00013-020-01521-9

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