On the number of conjugacy classes of a finite solvable group II

[摘要] We prove that a finite solvable group G has at least (49p + 1)/60 conjugacy classes whenever p is a prime such that p(2) divides the order of G. We also construct an infinite family of finite solvable groups, where this bound is attained. (C) 2003 Elsevier Inc. All rights reserved.

[发布日期] 2003-12-15