A primary covering of a finite group is a family of proper subgroups of whose union contains the set of elements of having order a prime power. We denote by s 0 (G) sigma {0}(G) the smallest size of a primary covering of and call it the primary covering number of We study this number and compare it with its analogue s (G) sigma(G), the covering number, for the classes of groups that are solvable and symmetric.
On the primary coverings of finite solvable and symmetric groups / Fumagalli F.; Garonzi M.. - In: JOURNAL OF GROUP THEORY. - ISSN 1433-5883. - STAMPA. - 24:(2021), pp. 1189-1211. [10.1515/jgth-2020-0056]
On the primary coverings of finite solvable and symmetric groups
Fumagalli F.;Garonzi M.
2021
Abstract
A primary covering of a finite group is a family of proper subgroups of whose union contains the set of elements of having order a prime power. We denote by s 0 (G) sigma {0}(G) the smallest size of a primary covering of and call it the primary covering number of We study this number and compare it with its analogue s (G) sigma(G), the covering number, for the classes of groups that are solvable and symmetric.File in questo prodotto:
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