3 papers
math.GR2026
A note on finite groups with few conjugacy classes of subgroups
Marius TÄrnÄuceanu
In this note, we give some conditions of solvability of a finite group based on its number of conjugacy classes of subgroups . We classify all finite groups with $C…
math.GR2025
Counting conjugacy classes and automorphism-conjugacy classes of ZM-groups
Marius TÄrnÄuceanu
In this paper, we count the number of conjugacy and automorphism-conjugacy classes of elements of a ZM-group. The size of a conjugacy class with respect to these two equivalence re…
math.GR2024
Finite groups with dense solitary subgroups
Marius TÄrnÄuceanu
A group is said to have dense solitary subgroups if each non-empty open interval in its subgroup lattice contains a solitary subgroup. In this short note, we find all fi…