#1639 ⟨a, b | aab=ba, baa=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. a4b ⇒ b
  2. ba ⇒ a2b 
# ab:aab=ba,baa=b reversed:a/b
aaaab=b
ba=aab

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.

3 total

Σ#PresentationMapping
105163⟨a, b | aab=ba, aaba=b⟩φ(a) = a, φ(b) = b
1114604⟨a, b | aaba=b, aaaab=b⟩φ(a) = a, φ(b) = b
1115676⟨a, b | aab=ba, aaaab=b⟩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.

7 total

Σ#PresentationMapping
92061⟨a, b | aab=b, abaa=b⟩φ(a) = a, φ(b) = b
1112247⟨a, b | aaab=ab, abaa=b⟩φ(a) = a, φ(b) = b
1112381⟨a, b | aaba=ba, abaa=b⟩φ(a) = a, φ(b) = b
1118969⟨a, b | aab=b, aaabaa=b⟩φ(a) = a, φ(b) = b
1119521⟨a, b | aab=b, aabaa=ab⟩φ(a) = a, φ(b) = b
1120060⟨a, b | aab=b, aaab=baa⟩φ(a) = a, φ(b) = b
1120081⟨a, b | aab=b, abaa=aab⟩φ(a) = a, φ(b) = b