#5320 ⟨a, b | aaa=ab, abb=ab⟩

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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. a5 ⇒ a3
  2. ab ⇒ a3 
# ab:aaa=ab,abb=ab a/b
aaaaa=aaa
ab=aaa

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
1115986⟨a, b | aaa=ab, aaab=ab⟩φ(a) = a, φ(b) = b
1115990⟨a, b | aaa=ab, aaba=ab⟩φ(a) = a, φ(b) = b
1115998⟨a, b | aaa=ab, abaa=ab⟩φ(a) = a, φ(b) = b
1116480⟨a, b | aaa=ab, abb=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.

1 total

Σ#PresentationMapping
1116507⟨a, b | aab=ab, bbb=aab⟩φ(a) = b, φ(b) = a