List questions from sylow-theory

Published on 01 Sep 2015 - 7:58

634

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Sylow p-subgroup of order p does not normalize any other Sylow p-subgroup

Published on 03 Sep 2015 - 13:22

104

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About Sylow's theorem

Published on 07 Sep 2015 - 8:40

140

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Sylow subgroups of G of order 240

Published on 08 Sep 2015 - 8:04

2.2k

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Prove that if $\left|G\right|=105$ than $G$ has a normal Sylow $5-$subgroup and a normal Sylow a $7-$subgroup

Published on 16 Sep 2015 - 8:24

2.5k

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Prove if $\left|G\right|=231$ then $Z(G)$ contains a Sylow $11-$subgroup

Published on 16 Sep 2015 - 9:02

81

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When is it valid to argue using my 'trivial intersection -> so many distinct elements'?

Published on 16 Sep 2015 - 10:26

1.1k

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If $|G|=24$ or $48,36,56,72,80,90$ or $96$ prove that $G$ is an abelian or simple group .

Published on 18 Sep 2015 - 8:42

240

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Sylow Theorem Question ($n_p \equiv 1 \pmod{p^a}$)

Published on 18 Sep 2015 - 12:57

123

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Let $P$, $Q$ be two Sylow p-subgroups of $G$, is it true that $N_P(Q)=Q\cap P$?

Published on 21 Sep 2015 - 7:51

1.1k

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Group of order $432$ is not simple

Published on 21 Sep 2015 - 12:42

183

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p-Sylow conjugation in semidirect product

Published on 29 Mar 2026 - 13:41

144

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$2$-Sylow subgroup of nonabelian group of order $56$ must be abelian?

Published on 25 Sep 2015 - 15:51

66

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Which of the following groups $Q$ is normal in $G$?

Published on 27 Sep 2015 - 14:56

497

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group of rigid motions dodecahedron

Published on 04 Oct 2015 - 8:54

List Question

Group of an order 385

Sylow p-subgroup of order p does not normalize any other Sylow p-subgroup

About Sylow's theorem

Sylow subgroups of G of order 240

Prove that if $\left|G\right|=105$ than $G$ has a normal Sylow $5-$subgroup and a normal Sylow a $7-$subgroup

Prove if $\left|G\right|=231$ then $Z(G)$ contains a Sylow $11-$subgroup

When is it valid to argue using my 'trivial intersection -> so many distinct elements'?

If $|G|=24$ or $48,36,56,72,80,90$ or $96$ prove that $G$ is an abelian or simple group .

Sylow Theorem Question ($n_p \equiv 1 \pmod{p^a}$)

Let $P$, $Q$ be two Sylow p-subgroups of $G$, is it true that $N_P(Q)=Q\cap P$?

Group of order $432$ is not simple

p-Sylow conjugation in semidirect product

$2$-Sylow subgroup of nonabelian group of order $56$ must be abelian?

Which of the following groups $Q$ is normal in $G$?

group of rigid motions dodecahedron

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