A Remark on Two Solvability Criteria of Thompson

Abstract

Let G be a finite group. It is shown that recent generalizations of two of Thompson's solvability criteria for G can still be improved, and that in a certain sense, these improvements are the best possible.

Key Words:

• Solvability criteria

2010 Mathematics Subject Classification:

• Primary 20F16
• Secondary 20D10

Notes

Communicated by P. Tiep.