If |G|=(p_1)^s1 (p_2)^s2 ...(p_t)^st where p_i are primes and si are positive integers then(adsbygoogle = window.adsbygoogle || []).push({});

G=P_1 P_2 ... P_t where P_i are the Sylow subgroups of G.

Is this true?

I think it is right because G and P_1 P_2 ... P_t have the same order. Please, help me.

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# The product of Sylow subgroups

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