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Direct products of finite groups as unions of proper subgroups

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Abstract

We determine all the ways in which a direct product of two finite groups can be expressed as the set-theoretical union of proper subgroups in a family of minimal cardinality.

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Correspondence to Andrea Lucchini.

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Research partially supported by MIUR-Italy via PRIN Group theory and applications.

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Garonzi, M., Lucchini, A. Direct products of finite groups as unions of proper subgroups. Arch. Math. 95, 201–206 (2010). https://doi.org/10.1007/s00013-010-0155-8

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  • DOI: https://doi.org/10.1007/s00013-010-0155-8

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