Finite abelian group textbook help

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SUMMARY

The discussion centers on the search for literature specifically focused on finite abelian groups, particularly concerning the action of the automorphism group, $\text{Aut}(A)$, on a finite abelian group, $A$. The user expresses difficulty in finding dedicated resources, noting that general searches yield results related to finite group theory instead. It is concluded that while there may not be books exclusively on finite abelian groups, related literature may provide valuable insights into the topic.

PREREQUISITES
  • Understanding of group theory concepts, particularly finite groups
  • Familiarity with automorphism groups, specifically $\text{Aut}(A)$
  • Basic knowledge of abelian group properties
  • Experience with mathematical literature search techniques
NEXT STEPS
  • Research literature on finite group theory to find relevant sections on finite abelian groups
  • Explore textbooks on group actions, focusing on automorphisms
  • Investigate academic papers discussing the structure and properties of finite abelian groups
  • Look into resources that cover the classification of finite abelian groups
USEFUL FOR

Mathematicians, students of abstract algebra, and researchers interested in group theory, particularly those focusing on finite abelian groups and their automorphisms.

caffeinemachine
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I need to read about finite abelian groups.

I searched 'finite abelian group' on amazon and the closest search result was 'finite group theory'. Googling didn't help either.

Does there exist a book dedicated to finite abelian groups? If yes, and if you know of a good one then please reply.

Right now I am primarily concerned with the action of $\text{Aut}(A)$ on $A$ where $A$ is a finite abelian group. If you know of a good source of literature in this particular topic then please help.
 
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I doubt there will be books written exclusively on finite abelian groups, because finite abelian groups are quite well characterized by the results here. Also, I have not read it, but this might be of interest.
 

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