#5312 ⟨a, b | aaa=ab, aab=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. a4 ⇒ a3
  2. ab ⇒ a3 
# ab:aaa=ab,aab=ab a/b
aaaa=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
105316⟨a, b | aaa=ab, aba=ab⟩φ(a) = a, φ(b) = b
1115982⟨a, b | aaa=ab, aaaa=ab⟩φ(a) = a, φ(b) = b
1116478⟨a, b | aaa=ab, aab=aaa⟩φ(a) = a, φ(b) = b
1116479⟨a, b | aaa=ab, aba=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
1116554⟨a, b | abb=ab, bbb=abb⟩φ(a) = b, φ(b) = a
1116558⟨a, b | bab=ab, bbb=bab⟩φ(a) = b, φ(b) = a