User Maths Rahul - Mathematics Stack Exchange

5 votes

Accepted

Different constructions of $(\Bbb Z_4 \times \Bbb Z_2) \rtimes\Bbb Z_2$

answered Jun 11, 2021 at 10:08

5 votes

Accepted

Number of Sylow $p$-subgroup of $\mbox{SL}_n(\Bbb F_p)$.

answered Apr 11, 2022 at 6:26

3 votes

possible class equation for a group of order 8

answered Nov 30, 2021 at 11:10

3 votes

Accepted

The center of a group of order $3^2q$ has order $1$ or $3$.

answered Apr 13, 2021 at 8:13

3 votes

Is the following true in number theory?

answered Aug 1, 2021 at 15:32

2 votes

How to show that the degree of this field extension is 12?

answered Aug 27, 2021 at 8:03

2 votes

Accepted

In $G_1 \times G_2$, $C(H_1 \times H_2) = C(H_1) \times C(H_2)$

answered May 26, 2021 at 7:42

2 votes

Accepted

Galois group $G$ where every element fixes a root is trivial

answered Apr 1, 2022 at 9:38

1 vote

Linear Algebra : Some Good Books for Eigenvalue, Eigenvector

answered Jul 1, 2021 at 15:23

1 vote

The commutator subgroup of finite metabelian p-group

answered Sep 19, 2021 at 7:11

1 vote

Accepted

Subgroups lattices of groups of order $p^3$

answered Sep 27, 2021 at 4:04

1 vote

Prove that a certain Group is Abelian

answered Oct 9, 2021 at 6:18

1 vote

Second Sylow theorem's proof

answered Nov 9, 2021 at 4:13

1 vote

Accepted

Example Sylow Subgroup of $A_5$

answered Apr 26, 2023 at 6:26

1 vote

if $G$ only has one subgroup of order $p$ and one subgroup of order $q$, then $G$ is a cyclic group

answered Dec 10, 2021 at 9:19

1 vote

Extending a Property of a p-group by Direct Product

answered Apr 1, 2022 at 6:34

1 vote

Accepted

Suppose L: K is a finite extension of degree n; show that there are precisely n distinct K-monomorphisms of L into the normal closure N of L: K.

answered Apr 1, 2022 at 9:14

0 votes

Is it true that for a Group $G$ with Normal Group $N: G/N = GN/N$?

answered Dec 2, 2021 at 4:10

0 votes

Let G be a group such that $(xy)^2 = (yx)^2$ for all x, y ∈ G. Show that $xy^2 = y^2x$ for all x, y ∈ G.

answered Oct 7, 2021 at 16:01

0 votes

Deducing there exists exactly $5$ isomorphism classes of groups of order $12$.

answered Apr 24 at 9:59

-1 votes

if the character of a g-representation has real values then it is realizable over the reals

answered Apr 24 at 7:01

Stack Exchange Network

21 Answers

Different constructions of $(\Bbb Z_4 \times \Bbb Z_2) \rtimes\Bbb Z_2$

Number of Sylow $p$-subgroup of $\mbox{SL}_n(\Bbb F_p)$.

possible class equation for a group of order 8

The center of a group of order $3^2q$ has order $1$ or $3$.

Is the following true in number theory?

How to show that the degree of this field extension is 12?

In $G_1 \times G_2$, $C(H_1 \times H_2) = C(H_1) \times C(H_2)$

Galois group $G$ where every element fixes a root is trivial

Linear Algebra : Some Good Books for Eigenvalue, Eigenvector

The commutator subgroup of finite metabelian p-group

Subgroups lattices of groups of order $p^3$

Prove that a certain Group is Abelian

Second Sylow theorem's proof

Example Sylow Subgroup of $A_5$

if $G$ only has one subgroup of order $p$ and one subgroup of order $q$, then $G$ is a cyclic group

Extending a Property of a p-group by Direct Product

Suppose L: K is a finite extension of degree n; show that there are precisely n distinct K-monomorphisms of L into the normal closure N of L: K.

Is it true that for a Group $G$ with Normal Group $N: G/N = GN/N$?

Let G be a group such that $(xy)^2 = (yx)^2$ for all x, y ∈ G. Show that $xy^2 = y^2x$ for all x, y ∈ G.

Deducing there exists exactly $5$ isomorphism classes of groups of order $12$.

if the character of a g-representation has real values then it is realizable over the reals