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blabla
  • Member for 9 years
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9 votes
4 answers
681 views

Prove that $G = \langle x,y\ |\ x^2=y^2 \rangle $ is torsion-free.

6 votes
2 answers
2k views

A $3 \times 3$ matrix with one eigenvalue and one eigenvector?

6 votes
1 answer
121 views

Is Kaplansky's radical same as Jacobson radical?

5 votes
2 answers
140 views

Conceptual doubt about Modules

4 votes
1 answer
201 views

Induced homomorphism $\phi^*$ from $G/M \to H/N\ ?$

4 votes
2 answers
3k views

Derived subgroup of $S_n$ and $D_n$

4 votes
1 answer
150 views

pointwise convergent subsequences of $f_n(x)=(-x)^n, x\in [0,1]$

4 votes
1 answer
239 views

$\sum_1^\infty{\frac{1}{n(n+1)(n+2)}}$? [duplicate]

4 votes
2 answers
443 views

Examples of topological groups that are not metrizable.

3 votes
4 answers
2k views

Which of the following statements are true for $A=\{t\sin(\frac{1}{t})\ |\ t\in (0,\frac{2}{\pi})\}$?

3 votes
2 answers
69 views

Why do we define modules only on additive groups?

3 votes
1 answer
81 views

An example of an uncountable, non-compact, non-metrizable, d-compact space

3 votes
1 answer
35 views

Basic question on probability

2 votes
1 answer
118 views

What is the Negation of following statement

2 votes
2 answers
1k views

Finite dimensional division ring over an algebraically closed field

2 votes
1 answer
45 views

How to find this complex integral? [duplicate]

2 votes
1 answer
341 views

Does an abelian group must have a degree one faithful representation?

1 vote
1 answer
39 views

Is this function continuous on rationals?

1 vote
1 answer
77 views

Example of non metrizable topological groups satisfying an extra condition.

1 vote
1 answer
27 views

How to write elements of uncountable products of a group?

1 vote
1 answer
142 views

If $G\backslash \{e\}$ is totally disconnected then $G$ is also totally disconnected?

1 vote
1 answer
62 views

Continuous but not d-continuous?

1 vote
1 answer
140 views

Find the extremal of $J[y]=\int_1^2(y'^2+2yy'+y^2) dx $

1 vote
0 answers
211 views

show that this function is not Riemann integrable on $[0,1].$

1 vote
2 answers
441 views

Does the second derivative exist at zero?

1 vote
1 answer
202 views

Ring $\frac{\mathbb{Z}}{ \mathbb{6Z}}[x] / \langle 2x+4 \rangle\cong\ ?$ [duplicate]

1 vote
2 answers
187 views

Find area of the shaded portion.

1 vote
1 answer
159 views

If $f$ is irreducible over $K$, then all its zeroes have the same multiplicity

1 vote
2 answers
346 views

Use Artin's Theorem to show that $[E:k] \ge n$

1 vote
1 answer
26 views

Does this hold for all normal extensions or only finite normal.