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On constructing CAP-subgroups in direct products. (English) Zbl 1508.20024

Summary: 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.

MSC:

20D30 Series and lattices of subgroups
20D40 Products of subgroups of abstract finite groups
20E07 Subgroup theorems; subgroup growth
Full Text: DOI

References:

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