LOG#084. Group theory (IV).

Today we are going to speak about two broad and main topics: cyclic groups and some general features of finite groups (a few additional properties and  theorems). A cyclic group is, informally speaking, a group that can be generated by … Continue reading

LOG#083. Group Theory (III).

Today we are going to study some interesting aspects of group theory. Definition (14). Subgroup. Given a group and a nonempty subset of G, then H is said to be a subgroup of if and only if Check: If is … Continue reading

LOG#082. Group Theory (II).

Basic definitions of group theory: that is the topic today! We need some background previous to the “group axioms”. Definition (1). Set is a collection of objects with some properties. Objects in the set are called “elements” or “members” of … Continue reading

LOG#081. Group Theory (I).

I am going to build a “minicourse” thread on Group Theory in this and the next blog posts. I am trying to keep the notes self-contained, since group theory is a powerful tool and common weapon in the hands of … Continue reading