Shubhodip Mondal
Reputation
1,756
Top tag
Next privilege 2,000 Rep.
6 14
Impact
~7k people reached

 12 Show group of order $4n + 2$ has a subgroup of index 2. 7 Show that a polynomial is irreducible in $\mathbb{Q}$ 6 limit of $\frac{(2n)!}{4^n(n!)^2}$ 5 Prove or disprove : If a sequence $\{x_n\}$ be such that $|x_n-x_{n+1}|\le \frac1{n^2}$, for all $n$. Then $\{x_n\}$ is a Cauchy sequence. 5 Laurent series, integral over the annulus, radii

Reputation (1,756)

 +10 Prove or disprove : If a sequence $\{x_n\}$ be such that $|x_n-x_{n+1}|\le \frac1{n^2}$, for all $n$. Then $\{x_n\}$ is a Cauchy sequence. +25 Question regarding proof that a finite morphism is proper. +25 Modules over $\mathbb Z/p^n\mathbb Z$ have $p$-power order +10 restrictions of rational sections of an invertible sheaf.

Questions (3)

 7 Number of solutions of $x^d = 1_G$ . 3 Subfield of $\mathbb R$ with Algebraic closure as $\mathbb C$. 3 Graph can be partitioned into A and B with $|A| \le O(n\log \delta/\delta)$

Tags (71)

 27 real-analysis × 10 16 finite-groups × 3 22 abstract-algebra × 6 12 algebraic-geometry × 12 22 group-theory × 6 12 permutations 19 complex-analysis × 20 8 functional-analysis × 5 19 sequences-and-series × 7 7 algebraic-number-theory

Accounts (4)

 Mathematics 1,756 rep 614 MathOverflow 235 rep 19 Area 51 201 rep 4 Stack Overflow 101 rep 1