#2583 ⟨a, b | aaa=1, abbb=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. a3 ⇒ 1
  2. b3 ⇒ b 
# ab:aaa=1,abbb=ab ab
aaa=1
bbb=b

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.

5 total

Σ#PresentationMapping
107495⟨a, b | aaa=1, aaabbb=b⟩φ(a) = a, φ(b) = b
107535⟨a, b | aaa=1, baaabb=b⟩φ(a) = a, φ(b) = b
108037⟨a, b | aaa=1, aaab=bbb⟩φ(a) = a, φ(b) = b
1122773⟨a, b | aaa=1, aabbb=aab⟩φ(a) = a, φ(b) = b
1122812⟨a, b | aaa=1, abbba=aba⟩φ(a) = a, φ(b) = b