#3397 ⟨a, b | aa=1, bababb=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. (ba)2b2 ⇒ b 
# ab:aa=1,bababb=b ab
aa=1
bababb=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
1126521⟨a, b | aa=1, aabababb=b⟩φ(a) = a, φ(b) = b
1126651⟨a, b | aa=1, baaababb=b⟩φ(a) = a, φ(b) = b
1126671⟨a, b | aa=1, babaaabb=b⟩φ(a) = a, φ(b) = b
1127115⟨a, b | aa=1, abababb=ab⟩φ(a) = a, φ(b) = b
1127727⟨a, b | aa=1, bababb=aab⟩φ(a) = a, φ(b) = b
1127730⟨a, b | aa=1, bababb=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
1126537⟨a, b | aa=1, aabbabab=b⟩φ(a) = a, φ(b) = b
1126659⟨a, b | aa=1, baababab=b⟩φ(a) = a, φ(b) = b
1127139⟨a, b | aa=1, abbabab=ab⟩φ(a) = a, φ(b) = b