#2874 ⟨a, b | aa=a, ababa=a⟩

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Quick links

  1. Properties
  2. Rewriting system
  3. Isomorphic instances

Properties

Rewriting system

Format:
Word to reduce:
Tips:
  • Lowercase letters stand for generators.
  • Spaces are ignored.
  • Numbers repeat the previous letter, e.g. b90.
Reduction strategy:
Path to normal form: 1 
1
#RuleProof
1. a2 ⇒ a [1]
2. a(ba)2 ⇒ a [2]
# ab:aa=a,ababa=a ab
aa=a
ababa=a

Isomorphic instances

The mapping is from the listed presentation's alphabet to the current rewriting system's alphabet.

11 total

Σ#PresentationMapping
108586⟨a, b | aa=a, aababa=a⟩φ(a) = a, φ(b) = b
108600⟨a, b | aa=a, abaaba=a⟩φ(a) = a, φ(b) = b
108874⟨a, b | aa=a, ababa=aa⟩φ(a) = a, φ(b) = b
1115629⟨a, b | aab=ab, ababa=a⟩φ(a) = a, φ(b) = b
1124064⟨a, b | aa=a, aaababa=a⟩φ(a) = a, φ(b) = b
1124078⟨a, b | aa=a, aabaaba=a⟩φ(a) = a, φ(b) = b
1124082⟨a, b | aa=a, aababaa=a⟩φ(a) = a, φ(b) = b
1124106⟨a, b | aa=a, abaaaba=a⟩φ(a) = a, φ(b) = b
1124623⟨a, b | aa=a, aababa=aa⟩φ(a) = a, φ(b) = b
1124650⟨a, b | aa=a, abaaba=aa⟩φ(a) = a, φ(b) = b
1125184⟨a, b | aa=a, ababa=aaa⟩φ(a) = a, φ(b) = b