(Note: this post is not going to be as simple as most other posts due to time constraints. Instead, the intention of this post is to provide a starting place to understand the different names, like D4 and C5, for groups)
In the attached doc, I briefly cover the following:
- Z (The Integers)
- Z/nZ (The Integers Modulo n)
- Z_n (The Integers Modulo n (in Group Theory))
- C (Cyclic group)
- C_n (Cyclic group of degree/order n)
- S (Symmetric Group)
- S_n (Finite Symmetric Group)
- A_n (Alternating Groups)
- D_n (Dihedral Group).
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Disclaimer:
I am not a professional in this field, nor do I claim to know all of the jargon that is typically used in this field. I am not summarizing my sources; I simply read from a variety of websites until I feel like I understand enough about a topic to move on to what I actually wanted to learn. If I am inaccurate in what I say or you know a better, simpler way to explain a concept, I would be happy to hear from you :).