Back to matchesWe found a matchYour institution may have rights to this item. Sign in to continue.TitleOn the number of conjugacy classes of a finite solvable group.AuthorsYang, Yong; Zhang, MengtianAbstractLet p be a prime that divides the order of the group G. We show that a finite solvable group has class number at least f(p) where f (p) : = min { x + p - 1 x : x ∈ N , x ∣ (p - 1) } . We also obtain some applications to character degrees.PublicationArchiv der Mathematik, 2024, Vol 123, Issue 1, p1ISSN0003-889XPublication typeArticleDOI10.1007/s00013-024-01989-9