Hello! This posts belongs to a series Group Theory. I recommend checking that out before reading this post. You should definitely read Intro to Groups and Group Types Part 1. The groups we've seen so far have been aproached from the perspective of elements. This is a very useful tool, but sometimes it's nice to … Continue reading Group Types Part 2
Category: Group Theory
Group Types Part 1
Hello! This post belongs to my series Group Theory, I recommend starting there to get the basics before reading this post. Specific to the groups presented here, you should also read Modulo and Equivalence Relations. We've seen some examples of infinite groups in Intro to Groups such as $latex G = (\mathbb{Z}, +)&bg=ffffff&fg=4E4E4E&s=1$ and $latex G = (\mathbb{R} \setminus … Continue reading Group Types Part 1
Group Theory
Abstract Algebra is a rich, massive field of mathematics. It is the study of many mathematical structures such as groups, rings, fields, modules, etc. Groups are the simplest of these structures and are the focus of this series. Before you begin this topic, I reccomend working through Intro Math, as this will give you a nice … Continue reading Group Theory
Intro to Groups
Hello! This is the first post in my series on group theory. For an overview of this series, see Group Theory (link to be added). I recommend working through Intro Math before starting this topic (especially Logical Implications, Set Theory Part 1, Set Theory Part 2, and Binary Functions). The vocabulary from Binary Functions is … Continue reading Intro to Groups
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