#2585 ⟨a, b | aaa=1, abbb=bb⟩

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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. b5 ⇒ b2
  2. ab2 ⇒ b4
  3. a3 ⇒ 1 
# ab:aaa=1,abbb=bb b/a
bbbbb=bb
abb=bbbb
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.

2 total

Σ#PresentationMapping
108053⟨a, b | aaa=1, aabb=bbb⟩φ(a) = a, φ(b) = b
1122775⟨a, b | aaa=1, aabbb=abb⟩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
1122813⟨a, b | aaa=1, abbba=abb⟩φ(a) = a, φ(b) = b