List questions from sylow-theory

Published on 25 Mar 2026 - 17:44

530

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A simple finite group $G$ with $n$ p-Sylows is isomorphic to a subgroup of $\mathbb A_n$

Published on 03 Dec 2014 - 18:23

1.7k

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How many Sylow $3$-subgroups can a group of order $72$ have?

Published on 03 Dec 2014 - 21:13

262

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Composition series of nilpotent group

Published on 07 Dec 2014 - 1:47

176

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Why must the Sylow 2-subgroup of an order 56 group have non-trivial intersection

Published on 07 Dec 2014 - 12:13

122

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Intersection of a subgroup with a $p$-Sylow.

Published on 08 Dec 2014 - 19:52

180

Views

Non-existence of non-abelian simple groups of order $90$ by counting elements

Published on 25 Mar 2026 - 11:15

5.6k

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Group of order $p^{n}$ has normal subgroups of order $p^{k}$

Published on 11 Dec 2014 - 6:01

429

Views

Prove that no group of order 56 can be simple using Sylow theorems

Published on 12 Dec 2014 - 12:21

72

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abstract algebra question with p-subgroup

Published on 14 Dec 2014 - 4:52

728

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Non abelian group of order 40

Published on 14 Dec 2014 - 7:53

202

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$n_p(GL_2(\mathbb{F}_p))=p+1$

Published on 14 Dec 2014 - 19:13

354

Views

A question in finite group theory with proof using representation theory

Published on 16 Dec 2014 - 18:57

189

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Show there exists a subgroup of order 15

Published on 16 Dec 2014 - 22:09

78

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$K \unlhd H\unlhd G$, K is sylow in H, proof $K \unlhd G$

Published on 17 Dec 2014 - 0:55

List Question

Generating a group by its $q$-elements.

A simple finite group $G$ with $n$ p-Sylows is isomorphic to a subgroup of $\mathbb A_n$

How many Sylow $3$-subgroups can a group of order $72$ have?

Composition series of nilpotent group

Why must the Sylow 2-subgroup of an order 56 group have non-trivial intersection

Intersection of a subgroup with a $p$-Sylow.

Non-existence of non-abelian simple groups of order $90$ by counting elements

Group of order $p^{n}$ has normal subgroups of order $p^{k}$

Prove that no group of order 56 can be simple using Sylow theorems

abstract algebra question with p-subgroup

Non abelian group of order 40

$n_p(GL_2(\mathbb{F}_p))=p+1$

A question in finite group theory with proof using representation theory

Show there exists a subgroup of order 15

$K \unlhd H\unlhd G$, K is sylow in H, proof $K \unlhd G$

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