#1996 ⟨a, b | aaa=a, babb=a⟩

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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. ab6 ⇒ a
  2. ba ⇒ ab4
  3. a3 ⇒ a 
# ab:aaa=a,babb=a b/a
abbbbbb=a
ba=abbbb
aaa=a

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.

4 total

Σ#PresentationMapping
1112260⟨a, b | aaab=ab, babb=a⟩φ(a) = a, φ(b) = b
1112394⟨a, b | aaba=ba, babb=a⟩φ(a) = a, φ(b) = b
1118742⟨a, b | aaa=a, baaabb=a⟩φ(a) = a, φ(b) = b
1119834⟨a, b | aaa=a, babb=aaa⟩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.

2 total

Σ#PresentationMapping
1112264⟨a, b | aaab=ab, bbab=a⟩φ(a) = a, φ(b) = b
1112372⟨a, b | aaba=ab, bbab=a⟩φ(a) = a, φ(b) = b