A new lower bound for the number of conjugacy classes
Burcu Çınarcı,
Thomas Keller
Abstract:In 2000, Héthelyi and Külshammer [Bull. London Math. Soc. 32 (2000), pp. 668–672] proposed that if
G
G
is a finite group,
p
p
is a prime dividing the group order, and
k
(
G
)
k(G)
is the number of conjugacy classes of
G
G
, then
k
(
G
)
≥
2
p
−
1
k(G)\geq 2\sqrt {p-1}
, and they proved this conjecture for solvable
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