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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

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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

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

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