#3407 ⟨a, b | aa=1, bbbbbb=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. b6 ⇒ b 
# ab:aa=1,bbbbbb=b ab
aa=1
bbbbbb=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.

6 total

Σ#PresentationMapping
1126555⟨a, b | aa=1, aabbbbbb=b⟩φ(a) = a, φ(b) = b
1126669⟨a, b | aa=1, baabbbbb=b⟩φ(a) = a, φ(b) = b
1126699⟨a, b | aa=1, bbaabbbb=b⟩φ(a) = a, φ(b) = b
1126707⟨a, b | aa=1, bbbaabbb=b⟩φ(a) = a, φ(b) = b
1127165⟨a, b | aa=1, abbbbbb=ab⟩φ(a) = a, φ(b) = b
1127763⟨a, b | aa=1, bbbbbb=aab⟩φ(a) = a, φ(b) = b