Quasi-NC groups

Abstract

A finite group G is called a “quasi-NC group” if for any abelian subgroup A, either A⊴G or C _G (A) = N _G (A). In this article, quasi-NC groups are determined.

Key Words:

• A-groups
• Frobenius groups
• Hall subgroup

2000 Mathematics Subject Classification:

• 20D10
• 20D15
• 20D20

ACKNOWLEDGMENT

This work was supported by NSFC (no. 10671114) and by NSF of Shanxi Province (no. 20051007).

Notes

Communicated by A. Turull.