[代數] p-group

[hotplushot (熱加熱)]

1.
N normal in G, N and G/N are p-groups, G is a p-group.
proof:

g in G

so g^(p^n)=e

gN in G/N

so (gN)^(p^n)=g^(p^n)N=eN=N

後來的部分突然忘了怎麼證明


2.給一個無限群 使得他是p-group

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