3 papers
math.GR2020
Finite Coverings of Semigroups and Related Structures
Casey Donoven, Luise-Charlotte Kappe
For a semigroup , the covering number of with respect to semigroups, , is the minimum number of proper subsemigroups of whose union is . This article investig…
math.GR2018
On integers that are covering numbers of groups
Martino Garonzi, Luise-Charlotte Kappe, Eric Swartz
The covering number of a group , denoted by , is the size of a minimal collection of proper subgroups of whose union is . We investigate which integers are covering…
math.GR2015
A generalization of 2-Baer groups
L. -C. Kappe, A. Tortora
A group in which all cyclic subgroups are 2-subnormal is called a 2-Baer group. The topic of this paper are generalized 2-Baer groups, i.e. groups in which the non-2-subnormal cycl…