#1645 ⟨a, b | aab=ba, bbb=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. a8b ⇒ a2b
  2. ba ⇒ a2b
  3. b3 ⇒ b 
# ab:aab=ba,bbb=b reversed:a/b
aaaaaaaab=aab
ba=aab
bbb=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.

1 total

Σ#PresentationMapping
1119788⟨a, b | aaa=a, aaab=bba⟩φ(a) = b, φ(b) = a

Other anti-isomorphic instances

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

1 total

Σ#PresentationMapping
1119245⟨a, b | aaa=a, aaabb=ba⟩φ(a) = b, φ(b) = a