List questions from sylow-theory

Published on 27 Oct 2016 - 16:16

339

Views

Abelian group of order $p^m$ having only one subgroup of order $p^{m-1}$

Published on 08 Nov 2016 - 6:14

38

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Is semi-direct product represent all group (up to isom) of order 6?

Published on 09 Nov 2016 - 11:06

229

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common elements in two Sylow p-subgroups?

Published on 13 Nov 2016 - 14:48

4.7k

Views

A finite $p$-group cannot be simple unless it has order $p$

Published on 26 Mar 2026 - 1:26

1k

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Is every element of a group an element of a Sylow p-subgroup of that group?

Published on 15 Nov 2016 - 20:27

226

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Is every element of a finite group a product of elements of prime order?

Published on 15 Nov 2016 - 20:52

4.2k

Views

Find Sylow 7-Subgroup of S7 and how many are there?

Published on 17 Nov 2016 - 13:43

109

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Composition series for Sylow $p$-subgroup of $Gl_3(\mathbb F_p)$?

Published on 17 Nov 2016 - 19:28

5.4k

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All Sylow $p$-subgroups of $GL_2(\mathbb F_p)$?

Published on 17 Nov 2016 - 19:48

1.3k

Views

Sylow p subgroups of symmetric group of order (p+i)!

Published on 22 Nov 2016 - 19:30

385

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My argument on normalizer of Sylow-P subgroups

Published on 23 Nov 2016 - 19:00

504

Views

Is the normalizer of a Sylow $p$-subgroup is a $p$-group?

Published on 23 Nov 2016 - 20:00

265

Views

Simple Consequence of Sylow Theorem

Published on 25 Nov 2016 - 14:24

2.2k

Views

Prove that a group of order $24$ has a normal subgroup of order $4$ or $8$

Published on 26 Nov 2016 - 3:15

List Question

Show that group of order 105 with normal 3-sylow is abelian.

Abelian group of order $p^m$ having only one subgroup of order $p^{m-1}$

Is semi-direct product represent all group (up to isom) of order 6?

common elements in two Sylow p-subgroups?

A finite $p$-group cannot be simple unless it has order $p$

Is every element of a group an element of a Sylow p-subgroup of that group?

Is every element of a finite group a product of elements of prime order?

Find Sylow 7-Subgroup of S7 and how many are there?

Composition series for Sylow $p$-subgroup of $Gl_3(\mathbb F_p)$?

All Sylow $p$-subgroups of $GL_2(\mathbb F_p)$?

Sylow p subgroups of symmetric group of order (p+i)!

My argument on normalizer of Sylow-P subgroups

Is the normalizer of a Sylow $p$-subgroup is a $p$-group?

Simple Consequence of Sylow Theorem

Prove that a group of order $24$ has a normal subgroup of order $4$ or $8$

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