Rough approximation of subgroup and conjugacy relation

Key Points

• The research seeks to determine whether a non-empty subset of a group can be an internal edge of a rough subgroup and to identify any corresponding subgroups.
• Defined the concept of rough subgroup and internal edge in relation to a conjugacy relation.
• Explored mathematical properties of subsets in relation to these groups.
• Evaluated the conditions under which a subset can be classified as an internal edge.
• Identified criteria for subsets to qualify as internal edges of rough subgroups.
• Found that such internal edges can correspond to specific subgroups, which may or may not be unique.

Abstract