#1133 ⟨a, b | aa=1, bbabb=b⟩

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Properties

Complete 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
  1. a2 ⇒ 1
  2. b2ab ⇒ bab2
  3. bab3 ⇒ b 
# ab:aa=1,bbabb=b ab
aa=1
bbab=babb
babbb=b

Right Cayley graph (truncated)

Left Cayley graph (truncated)

Other isomorphic instances

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

5 total

Σ#PresentationMapping
109707⟨a, b | aa=1, aabbabb=b⟩φ(a) = a, φ(b) = b
109771⟨a, b | aa=1, baababb=b⟩φ(a) = a, φ(b) = b
109789⟨a, b | aa=1, bbaaabb=b⟩φ(a) = a, φ(b) = b
1010014⟨a, b | aa=1, abbabb=ab⟩φ(a) = a, φ(b) = b
1010333⟨a, b | aa=1, bbabb=aab⟩φ(a) = a, φ(b) = b