1 citations · 1 across the 4 of their papers we have counts for
4 papers
Covering certain Wreath Products with Proper Subgroups
Martino Garonzi, Attila Maroti
For a non-cyclic finite group let be the least number of proper subgroups of whose union is . Precise formulas or estimates are given for for cer…
Normal coverings of linear groups
John R. Britnell, Attila Maroti
For a non-cyclic finite group , let denote the smallest number of conjugacy classes of proper subgroups of needed to cover . Bubboloni, Praeger and Spiga, motivate…
Rings as the unions of proper subrings
Andrea Lucchini, Attila Maroti
We describe all possible ways how a ring can be expressed as the union of three of its proper subrings. This is an analogue for rings of a 1926 theorem of Scorza about groups. We t…
Average dimension of fixed point spaces with applications
Robert M. Guralnick, Attila Maroti
Let be a finite group, a field, and a finite dimensional -module such that has no trivial composition factor on . Then the arithmetic average dimension of th…