#3401 ⟨a, b | aa=1, babbbb=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. bab4 ⇒ b 
# ab:aa=1,babbbb=b ab
aa=1
babbbb=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.

7 total

Σ#PresentationMapping
1126529⟨a, b | aa=1, aababbbb=b⟩φ(a) = a, φ(b) = b
1126655⟨a, b | aa=1, baaabbbb=b⟩φ(a) = a, φ(b) = b
1126675⟨a, b | aa=1, babaabbb=b⟩φ(a) = a, φ(b) = b
1126683⟨a, b | aa=1, babbaabb=b⟩φ(a) = a, φ(b) = b
1127127⟨a, b | aa=1, ababbbb=ab⟩φ(a) = a, φ(b) = b
1127741⟨a, b | aa=1, babbbb=aab⟩φ(a) = a, φ(b) = b
1127744⟨a, b | aa=1, babbbb=baa⟩φ(a) = a, φ(b) = b

Other anti-isomorphic instances

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

3 total

Σ#PresentationMapping
1126551⟨a, b | aa=1, aabbbbab=b⟩φ(a) = a, φ(b) = b
1126667⟨a, b | aa=1, baabbbab=b⟩φ(a) = a, φ(b) = b
1127158⟨a, b | aa=1, abbbbab=ab⟩φ(a) = a, φ(b) = b