Minimal inner-I - pound Omega-groups and their applications

作者：Li XianHua^*; Xu Yong

来源：Science China Mathematics, 2011, 54(9): 1927-1936.

DOI：10.1007/s11425-011-4252-3

• nilpotent subgroup
• supersolvable subgroup
• a pair of conjugate subgroups
• minimal inner-Sigma-Omega-group

We introduce and study the minimal inner-I - pound Omega-groups and the minimal outer-I -a" pound -groups. Then we give some applications and obtain some interesting results, including characterizations of nilpotent, supersolvable, solvable, and p-closed groups in terms of the join of two conjugate cyclic subgroups having the same property.

• 出版日期2011-9
• 单位苏州大学