What is the Gist of the Different Symbols Used to Denote a Group in Mathematics?

(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 :).

Published by

George Evans

BS in Physics with a Minor in Mathematics.

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