Abstract Algebra 4: some more examples of groups

In this video we will present some more important structures that satisfy the group axioms, as well as prove that they actually satisfy them. The structures in question are: the additive group of integers modulo n, the multiplicative group mod n U(n), the general linear group and the special linear group.

Tags:
#grouptheory #groups #group #maths #mathematics

group theory
groups
group
ring
rings
special linear group
general linear group
dihedral groups
abelian groups
abstract algebra
algebra
mathematics
maths
integers mod n
additive group of integers modulo n
modular arithmetic
set theory
functions
equivalence relations