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soft tostada burrito
  • Member for 1 year, 11 months
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9 votes
Accepted

Is $\ \{ \sin(p):\ p\ $ is prime $ \}\ $ a dense subset of $\ [-1,1]\ ?$

8 votes
Accepted

Find an average number by using group action

6 votes

Is there a vector space whose additive identity is not in the form of $(0,\ldots,0)$?

6 votes

Can two non-isomorphic finitely presented groups have isomorphic abelianizations?

5 votes
Accepted

Question about discrete topology of $\mathbb{R}$

5 votes

Amount of Isomorphisms Between Two Cyclic Groups of Identical Order is equal to the amount of Automorphisms of one of the cyclic groups

5 votes

find the number of subspaces $W$ such that $U\subseteq W$

5 votes
Accepted

Let $G$ be a group with $25$ elements and $E$ a $G$-set with $32$ elements. Show that there exists $a \in E$ such that $G_a=G$.

5 votes
Accepted

Does every presentation correspond to a group?

5 votes

Why are there only 5 abelian groups of order 48?

5 votes

Show that if $A=\{1, 2,...\}$, then $S_A$ is an infinite group

5 votes
Accepted

How to show a function is holomorphic

5 votes
Accepted

G has a element of order 2 not lying in center

4 votes

$\Sigma\le S_n$ of order $n$. Is $\Sigma$ cyclic, if each $\tau\in\Sigma\setminus\{Id\}$ moves all the elements?

4 votes

Stabiliser of $(12345)\in S_5$ for conjugation.

4 votes

What is the order of a group given three generators, $a^2=b^3=c^4=1$ and $cb=ac$

4 votes

Group of order $22$ is generated by two elements

4 votes

Matrix of the derivative of a differentiable function $f$ at the origin with respect to the standard basis of $\Bbb R^2$.

4 votes

Must a group of order $20$ have an element of order $10$?

4 votes
Accepted

Modulus of $t^z$ where $z\in \mathbb{C}$

4 votes
Accepted

Number of ring homomorphisms

4 votes

Isomorphism between two quotient ring

4 votes
Accepted

Let $G$ be a finite group, $H$ be a subgroup of $G$ with $[G:H]=2$ and for all $h \in H-{1}$, $C_G(h) \leq H$. Prove $G-H$ forms a conjugacy class.

4 votes
Accepted

If all subgroups of direct product are direct products, then orders are coprime

4 votes
Accepted

Prove that $A_5$ does not have a subgroup of order 15, 20, nor 30 (without using simple group and Sylow's Theorem)

4 votes
Accepted

When is multiplication by an element from a transformation group bijective?

4 votes
Accepted

Ways to guarantee that a group presentation defines a finite group when randomly generating group presentations

4 votes

Cyclic groups and abelian groups

4 votes

Is there a projection $T:\mathbb{R}^n\to \mathbb R^n$ such that $\text{tr}(A)=n+1$.

4 votes
Accepted

Dimensions in group theory

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