5 citations · 6 across the 3 of their papers we have counts for
3 papers
math.GR2023★ 1 cited
Groups with the real chain condition on non-pronormal subgroups
Ulderico Dardano, Fausto De Mari
It is shown that a gerenalised radical group has no chain of non-pronormal subgroups with the same order type as the set of the real numbers if and only if either the group is mini…
math.GR2023
A real chain condition for groups
Ulderico Dardano, Fausto De Mari
We consider a very weak chain condition for a poset, that is the absence of subsets which are order isomorphic to the set of real numbers in their natural ordering; we study genera…
math.GR2016★ 5 cited
Groups with finiteness conditions on the lower central series of non-normal subgroups
Fausto De Mari
It is known that any locally graded group with finitely many derived subgroups of non-normal subgroups is finite-by-abelian. This result is generalized here, by proving that in a l…