#3671 ⟨a, b | aa=1, babb=bab⟩

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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. bab2 ⇒ bab 
# ab:aa=1,babb=bab ab
aa=1
babb=bab

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
1127579⟨a, b | aa=1, aababb=bab⟩φ(a) = a, φ(b) = b
1127707⟨a, b | aa=1, baaabb=bab⟩φ(a) = a, φ(b) = b
1128103⟨a, b | aa=1, aabab=babb⟩φ(a) = a, φ(b) = b
1128171⟨a, b | aa=1, ababb=abab⟩φ(a) = a, φ(b) = b
1128232⟨a, b | aa=1, baaab=babb⟩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.

4 total

Σ#PresentationMapping
1127593⟨a, b | aa=1, aabbab=bab⟩φ(a) = a, φ(b) = b
1127715⟨a, b | aa=1, baabab=bab⟩φ(a) = a, φ(b) = b
1128105⟨a, b | aa=1, aabab=bbab⟩φ(a) = a, φ(b) = b
1128187⟨a, b | aa=1, abbab=abab⟩φ(a) = a, φ(b) = b