#8074 ⟨a, b | aaa=1, abbb=bba⟩

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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. b21 ⇒ b2
  2. bab2 ⇒ ab13
  3. b2a ⇒ ab3
  4. ba2b2 ⇒ a2b9
  5. a3 ⇒ 1 
# ab:aaa=1,abbb=bba b/a
bbbbbbbbbbbbbbbbbbbbb=bb
babb=abbbbbbbbbbbbb
bba=abbb
baabb=aabbbbbbbbb
aaa=1

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
1122771⟨a, b | aaa=1, aabba=bbb⟩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.

1 total

Σ#PresentationMapping
1122245⟨a, b | aaa=1, aabbba=bb⟩φ(a) = a, φ(b) = b