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On the cover-avoiding properties in finite groups. (English) Zbl 1448.20023

Shum, K. P. (ed.) et al., New trends in algebras and combinatorics. Proceedings of the 3rd international congress in algebras and combinatorics, ICAC 2017, Hong Kong, China, August 25–28, 2017. In honor of Professor Leonid Bokut on the occasion of his 80th birthday. Hackensack, NJ: World Scientific. 88-104 (2020).
Summary: In this paper, we give a survey concerning the influence and the related progress of the cover-avoiding subgroups on the structure of finite groups.
For the entire collection see [Zbl 1440.13001].

MSC:

20D30 Series and lattices of subgroups
20D20 Sylow subgroups, Sylow properties, \(\pi\)-groups, \(\pi\)-structure
20D10 Finite solvable groups, theory of formations, Schunck classes, Fitting classes, \(\pi\)-length, ranks
20E28 Maximal subgroups
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