List questions from sylow-theory

Published on 30 May 2019 - 21:37

498

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Proving that every group of order 48 is not simple

Published on 06 Jun 2019 - 20:35

88

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Lower bounds on the number of subgroups of a specific group

Published on 09 Jun 2019 - 13:18

1k

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Topics in Algebra - N. Herstein Exercise from Section 2.12, Question 16 (Page 103)

Published on 15 Jun 2019 - 5:11

548

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The number of elements of order $p$ and $q$ in a group of order $pq$

Published on 16 Jun 2019 - 16:09

37

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Finite Sylow subgroups of periodic groups

Published on 25 Mar 2026 - 16:00

136

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Subgroup of order 2 of a group of order 56

Published on 20 Jun 2019 - 9:20

55

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On the Sylow subgroups of a subgroup

Published on 23 Jun 2019 - 12:59

57

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$H\lhd G$, $|H|=p^k$ then $H$ is included in every $p$-Sylow subgroup of $G$

Published on 24 Jun 2019 - 1:21

178

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Meaning of the Sylow's second theorem and related question.

Published on 25 Jun 2019 - 5:06

294

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No group of order $pq^l$ with $1\le l\le k$ is simple.

Published on 25 Mar 2026 - 4:58

136

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How can I find the Sylow $p$-subgroup which is not commutative?

Published on 30 Jun 2019 - 7:58

854

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Group of order 105

Published on 02 Jul 2019 - 21:07

538

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Does $A_{17}$ have a subgroup of index $3$?

Published on 03 Jul 2019 - 9:49

149

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All non-abelian groups of order $pq$ are unique up to isomorphisms?

Published on 03 Jul 2019 - 19:47

List Question

Show that there exist a subgroup $H\cong \mathbb{Z}_p\oplus\mathbb{Z}_p$ $p$ prime

Proving that every group of order 48 is not simple

Lower bounds on the number of subgroups of a specific group

Topics in Algebra - N. Herstein Exercise from Section 2.12, Question 16 (Page 103)

The number of elements of order $p$ and $q$ in a group of order $pq$

Finite Sylow subgroups of periodic groups

Subgroup of order 2 of a group of order 56

On the Sylow subgroups of a subgroup

$H\lhd G$, $|H|=p^k$ then $H$ is included in every $p$-Sylow subgroup of $G$

Meaning of the Sylow's second theorem and related question.

No group of order $pq^l$ with $1\le l\le k$ is simple.

How can I find the Sylow $p$-subgroup which is not commutative?

Group of order 105

Does $A_{17}$ have a subgroup of index $3$?

All non-abelian groups of order $pq$ are unique up to isomorphisms?

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