# Anindya Ghatak

less info
reputation
111
bio website location India age 25 member for 1 year, 5 months seen Jul 15 at 9:00 profile views 207

I have interest in this areas Real analysis,Complex analysis,Topology point set theory,Functional analysis,linear algebra,Abstract algebra;

# 30 Questions

 10 The existence of a group automorphism with some properties implies commutativity. 9 Do $AB$ and $BA$ have same minimal and characteristic polynomials? 5 Is the set ${\rm SL }(n, \mathbb {R})$ connected in ${\rm M }(n, \mathbb {R})$ 4 $G$ is a finite group and $T$ an automorphism of $G$ such that $T$ sends more than $\frac{3}{4}|G|$ elements to their inverse. [duplicate] 4 Does there exist such a closed subspace of normed linear space

# 688 Reputation

 +5 The existence of a group automorphism with some properties implies commutativity. +5 Show that the set of all orthogonal matrix of order $n$, $O(n)$ is a compact subset of $GL(n,\mathbb R)$ +5 How many non isomorphic groups of order 30 are there? +5 Do $AB$ and $BA$ have same minimal and characteristic polynomials?

 3 Finding the eigenvalues of $A^2$ and $A^{-1}$ from the characteristic polynomial of $A$ 3 $I_r$ =$\int_{C_r}$ $\frac{dz}{z(z-1)(z-2)}$ 1 Find all subgroups 1 Let S, T be two subspaces of $\mathbb{R}^{24}$ such that $\dim(S) = 19$ and $\dim(T ) = 17.$ 1 Product of operators

# 33 Tags

 4 linear-algebra × 7 1 general-topology × 10 3 complex-analysis × 5 1 group-theory × 7 3 eigenvalues-eigenvectors 1 abstract-algebra × 4 2 metric-spaces × 13 1 real-analysis × 3 2 functional-analysis × 10 1 normed-spaces × 3

# 3 Accounts

 Mathematics 688 rep 111 Stack Overflow 101 rep MathOverflow 101 rep