MathDB
Problems
Contests
Undergraduate contests
Putnam
1968 Putnam
B2
Putnam 1968 B2
Putnam 1968 B2
Source: Putnam 1968
February 19, 2022
Putnam
group theory
Problem Statement
Let
G
G
G
be a finite group with
n
n
n
elements and
K
K
K
a subset of
G
G
G
with more than
n
2
\frac{n}{2}
2
n
elements. Show that for any
g
∈
G
g\in G
g
∈
G
one can find
h
,
k
∈
K
h,k\in K
h
,
k
∈
K
such that
g
=
h
⋅
k
g=h\cdot k
g
=
h
⋅
k
.
Back to Problems
View on AoPS