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B2

Part of 1968 Putnam

Problems(1)

Putnam 1968 B2

Source: Putnam 1968

2/19/2022
Let GG be a finite group with nn elements and KK a subset of GG with more than n2\frac{n}{2} elements. Show that for any g∈Gg\in G one can find h,k∈Kh,k\in K such that g=h⋅kg=h\cdot k.
Putnamgroup theory