On projective representations of special 𝑝-groups

Key Points

• The aim is to describe complex irreducible projective representations of special p-groups with specific rank conditions.
• Analyzed special p-groups of rank two and of maximum rank with |G^p| ≤ p.
• Detailed mathematical descriptions of the representations were provided.
• Identified types of complex irreducible projective representations for specific ranks of G.
• Demonstrated significant features distinguishing these representations based on the group's structure.

Abstract