#1135 ⟨a, b | aa=1, bbbbb=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. b5 ⇒ b 
# ab:aa=1,bbbbb=b ab
aa=1
bbbbb=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
109715⟨a, b | aa=1, aabbbbb=b⟩φ(a) = a, φ(b) = b
109775⟨a, b | aa=1, baabbbb=b⟩φ(a) = a, φ(b) = b
109791⟨a, b | aa=1, bbaabbb=b⟩φ(a) = a, φ(b) = b
1010025⟨a, b | aa=1, abbbbb=ab⟩φ(a) = a, φ(b) = b
1010339⟨a, b | aa=1, bbbbb=aab⟩φ(a) = a, φ(b) = b