Reputation
1,520
Next privilege 2,000 Rep.
Edit questions and answers
Badges
3 15
Newest
 Custodian
Impact
~11k people reached

3h
comment Characteristic polynomial of A, if $\det(\operatorname{adj}(\operatorname{adj}(A))) = 81$?
So the discussion says that such characteristic polynomial may be not unique
1d
revised If $A$ is a $3\times3$ Matrics Then $\left |(2A)^{-1} \right |=?$
deleted 5 characters in body
1d
comment If $A$ is a $3\times3$ Matrics Then $\left |(2A)^{-1} \right |=?$
I am extremely sorry for this. Didn't notice the fact. Editing in a while
1d
answered If $A$ is a $3\times3$ Matrics Then $\left |(2A)^{-1} \right |=?$
Jun
26
revised Structure of the unit group $(\mathbb{Z}[i]/8\mathbb{Z}[i])^\times$
\right)^\times$
Jun
26
suggested approved edit on Structure of the unit group $(\mathbb{Z}[i]/8\mathbb{Z}[i])^\times$
Jun
25
comment How to write $n!=a^{\alpha_0}(a+1)^{\alpha_1}(a+2)^{\alpha_2}\cdots(a+r)^{\alpha_r}$?
Its done now. Please let me know if there is any more mistake
Jun
25
revised How to write $n!=a^{\alpha_0}(a+1)^{\alpha_1}(a+2)^{\alpha_2}\cdots(a+r)^{\alpha_r}$?
added 1 character in body
Jun
25
comment How to write $n!=a^{\alpha_0}(a+1)^{\alpha_1}(a+2)^{\alpha_2}\cdots(a+r)^{\alpha_r}$?
I apologise. It was a mistake indeed. Sorry for that. Correcting
Jun
25
comment How to write $n!=a^{\alpha_0}(a+1)^{\alpha_1}(a+2)^{\alpha_2}\cdots(a+r)^{\alpha_r}$?
(1) I have excluded "$0\in \mathbb N$". (2) And each $\alpha$ must be natural number. (3) I wish to express $15!$ not 15 .
Jun
25
asked How to write $n!=a^{\alpha_0}(a+1)^{\alpha_1}(a+2)^{\alpha_2}\cdots(a+r)^{\alpha_r}$?
Jun
23
comment What is subgroup lattice of GL$(n,\mathbb F_q)$?
I am studying group theory. There I came to know about lattice diagrame. and so far I have studied some of the lattice diagrame and also I made myself some of them as routine work. The more I am getting, more I am becoming enthusiastic to learn more about the structure of groups. Only thing is, some of the groups are so complicated that I failed to create lattice. GL(n, Fq) is one of them. So I am requesting help from the others if anyone or anywhere it has been done or not. Just for learning curiosity, nothing else
Jun
23
comment What is subgroup lattice of GL$(n,\mathbb F_q)$?
In that case, whatever has been done so far, will it possible to study ? I mean may I know from where I can get them ?
Jun
23
asked What is subgroup lattice of GL$(n,\mathbb F_q)$?
Jun
18
comment How to find a closed formula on number of subgroups of $G_1\times G_2$?
thank you. i got it
Jun
18
asked How to find a closed formula on number of subgroups of $G_1\times G_2$?
Jun
18
comment The Fifteen Puzzle and $S_n$
I know what is $S_n$ but after going through the entire question, I was blank to understand the situation. So I post here for help
Jun
17
comment On the number of conjugacy classes in $S_n$.
I have found recently a new formula. it says that divide $n!$ by $r$ for each $r$ cycle and then divide the result by $n_r!$ if the number of $r$ cycle be $n_r$. So that gives the formula $\frac{n!}{\prod\limits_r r^{n_r}n_r!}$. By this if $\sigma$ has cycle type [2,2,3,3,4,4] then result is $1389404016000$ whereas using your ans, we have $\frac{1}{2!^3}\binom{18}{2}\binom{16}{2}\binom{14}{3}\binom{11}{3}\binom{8}{4} \binom{4}{4} (2-1)!^2(3-1)!^2(4-1)!^2=\frac{134008875}{2}$. What mistake have i done ?
Jun
17
comment On the number of conjugacy classes in $S_n$.
thank you/.But suppose that $\sigma$ has the cycle type [2,2,2,3,3,4,4,4] in $S_{24}$. In this case what to do ? ( mean to ask, in case, the cycle type gets repeated, what to do ?)
Jun
17
accepted On the number of conjugacy classes in $S_n$.