7

Part of 2014 IMS

Problems(1)

Source: IMS 2014 - Day2 - Problem7

G

be a finite group such that for every two subgroups of it like

H

K

H \cong K

H \subseteq K

K \subseteq H

. Prove that we can produce each subgroup of

G

with 2 elements at most.

group theoryabstract algebrasuperior algebrasuperior algebra unsolved