A note on conjugacy class sizes and solvability of finite groups

作者：Kong Qingjun^*

来源：Monatshefte fur Mathematik, 2015, 177(2): 295-299.

DOI：10.1007/s00605-014-0635-1

• Conjugacy class sizes
• Solvable groups
• Finite groups

Let be a group and let be the set of elements of primary, biprimary and triprimary orders of . Suppose that the conjugacy class sizes of are , where does not divide the positive integer , then is up to central factors a -group with and two distinct primes. In particular, is solvable.

• 出版日期2015-6
• 单位天津工业大学