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Everything about Word problem for groups

Problem in finite group theory

In mathematics, especially in the area of abstract algebra known as combinatorial group theory, the word problem for a finitely generated group is the algorithmic problem of deciding whether two words in the generators represent the same element of. The word problems for certain groups provide well-known examples of undecidable problems. Wikipedia →

đź§­ Start here: a 6-step reading path

  1. Read the overview: Word problem for groupsA 5-minute orientation
  2. Skim a recent paper: The word problem for finitary automaton groupsInfluential work since 2022
  3. Pick up a classic book: The TempestThe most-reprinted book on the subject
  4. Read the landmark paper: The word problem for free partially commutative groupsCited 30 times
  5. Go sideways: Adian–Rabin theoremA closely related topic
  6. Go sideways: Absolute presentation of a groupA closely related topic

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🏆 Landmark papers (most cited)

🆕 Influential since 2022

📚 Books worth reading

Ranked by number of editions on Open Library, a rough measure of how lasting a book is.

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