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math.GR2007
A lower bound for the number of conjugacy classes of finite groups
Thomas Michael Keller
In 2000, L. Héthelyi and B. Külshammer proved that if is a prime number dividing the order of a finite solvable group , then has at least conjugacy classes…
math.GR2005★ 1 cited
Fixed conjugacy classes of normal subgroups and the k(GV)-problem
Thomas Michael Keller
We establish several new bounds for the number of conjugacy classes of a finite group, all of which involve the maximal number c of conjugacy classes of a normal subgroup fixed by…