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.
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
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.I documenti in SFERA sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
