Let H be a finite group. The order of Sylow p-subgroup of H for every prime factor p with multiplicity 9 is?(a) p+6(b) p^9(c) p^p(d) 3!*p^2This question was posed to me in semester exam.This intriguing question comes from Groups in division Groups of Discrete Mathematics

Let H be a finite group. The order of Sylow p-subgroup of H for every

1.	Let H be a finite group. The order of Sylow p-subgroup of H for every prime factor p with multiplicity 9 is?(a) p+6(b) p^9(c) p^p(d) 3!*p^2This question was posed to me in semester exam.This intriguing question comes from Groups in division Groups of Discrete Mathematics
Answer» CORRECT ANSWER is (b) p^9 To ELABORATE: We know that, for a FINITE group H, there exists a Sylow p-subgroup of H having order p^9 for every PRIME factor p with multiplicity 9.

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Let H be a finite group. The order of Sylow p-subgroup of H for every prime factor p with multiplicity 9 is?(a) p+6(b) p^9(c) p^p(d) 3!*p^2This question was posed to me in semester exam.This intriguing question comes from Groups in division Groups of Discrete Mathematics

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