List questions from sylow-theory

Published on 29 Dec 2018 - 23:43

48

Views

In a group of order 400, is the normalizer of one of the 16 Sylow 5-subgroups itself?

Published on 06 Jan 2019 - 22:06

1.1k

Views

Show that a group of order $90$ is solvable

Published on 06 Jan 2019 - 23:50

792

Views

The normalizer of a $p$ sylow subgroup is itself

Published on 07 Jan 2019 - 10:58

485

Views

Find the number of $2$-Sylow subgroups in $GL_2(\mathbb F_5)$

Published on 07 Jan 2019 - 18:05

1.2k

Views

Sylow Subgroups and Conjugation

Published on 09 Jan 2019 - 3:29

120

Views

Why does $a^p \equiv 1\ (\text {mod}\ q)$?

Published on 09 Jan 2019 - 17:19

993

Views

Group of order 60

Published on 10 Jan 2019 - 16:55

360

Views

Group of order $p^{\alpha}q$ is not simple.

Published on 11 Jan 2019 - 17:52

308

Views

Group with order $30$ is not a simple group.

Published on 14 Jan 2019 - 10:11

660

Views

Finding number of subgroups of order 3 in an abelian group of order 24

Published on 16 Jan 2019 - 14:48

10.3k

Views

Sylow 2 subgroups of S4

Published on 25 Mar 2026 - 10:53

205

Views

Is the intersection of Frattini subgroup and a Sylow subgroup contained in the Frattini subgroup of the Sylow subgroup?

Published on 25 Mar 2026 - 4:43

291

Views

How to show that, in this case, all the Sylow $p$-subgroups of $G$ are abelian.

Published on 25 Mar 2026 - 7:46

105

Views

How do I know that $\mathbb{Z}_{175}$ is not an additional subgroup of order $175$?

Published on 09 Feb 2019 - 22:16

List Question

Show that a group of order 66 has a normal subgroup of order 33.

In a group of order 400, is the normalizer of one of the 16 Sylow 5-subgroups itself?

Show that a group of order $90$ is solvable

The normalizer of a $p$ sylow subgroup is itself

Find the number of $2$-Sylow subgroups in $GL_2(\mathbb F_5)$

Sylow Subgroups and Conjugation

Why does $a^p \equiv 1\ (\text {mod}\ q)$?

Group of order 60

Group of order $p^{\alpha}q$ is not simple.

Group with order $30$ is not a simple group.

Finding number of subgroups of order 3 in an abelian group of order 24

Sylow 2 subgroups of S4

Is the intersection of Frattini subgroup and a Sylow subgroup contained in the Frattini subgroup of the Sylow subgroup?

How to show that, in this case, all the Sylow $p$-subgroups of $G$ are abelian.

How do I know that $\mathbb{Z}_{175}$ is not an additional subgroup of order $175$?

Trending Questions

Popular # Hahtags

Popular Questions