Let p be a prime. Show that a finite group of order p n contains normal subgroups
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Let p be a prime. Show that a finite group of order pn contains normal subgroups Hi for 0 ≤ i ≤ n such that |Hi| = pi and Hi < Hi+1 for 0 ≤ i < n.
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We proceed by induction on n If n 1 the statement is obviously true for H 0 e and the entire group G ...View the full answer
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