O enostavnih grupah, ki dopuščajo prezentacijo kot nizovne C-grupe

Key Points

• A simple group admits at least one string C-group representation if and only if it is not among specific exclusions.
• The excluded groups include PSL(3, q), PSL(4, 2^n), A₆, and others.
• This analysis focuses on the structural characteristics of simple groups regarding representation theory.
• The findings are significant, as they delineate clear boundaries regarding which simple groups can have these representations.

Abstract