Lecture 45 (Cyclotomic polynomial)

Integral over Ok (Lect 1B)

Question based on Integral basis (part A)

Theory of Field Extension (new)-6

lf H is a p-subgroup of a finite group G, then H is contained in some sylow p- subgroup of G

Wedderurn Theorem (part -1)

Separability of polynomial's lect-2

Prove that a module is of finite length if and only if it is both noetherian and Aritinian

If N is a submodule of M.Then M is Aritinian iff both N and M/N are Aritinian R-module

gcd(2^l-1,2^m-1)|2^(l,m)-1

Reduction formula-7

Reduction formula-6

List of groups of order 10

Converse of Lagrange Theorem in finite nilpotent group

condition for quadratic residues for power of 2

Reduction formula-5

External direct product of two nilpotent groups is nilpotent

Reduction formula-4

The Euler product formula

Homomorphic image of nilpotent group is nilpotent

Reduction formula-3

Central series using commutator subgroup

Zeta function -4

Reduction formula -2( integration of nth power of sec x)

Central and upper central series