#2084 ⟨a, b | aba=a, aaaa=a⟩

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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. aba ⇒ a
  2. a4 ⇒ a 
# ab:aba=a,aaaa=a ab
aba=a
aaaa=a

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
1112639⟨a, b | babb=bb, bbbb=b⟩φ(a) = b, φ(b) = a
1119092⟨a, b | aba=a, aaaaba=a⟩φ(a) = a, φ(b) = b
1119096⟨a, b | aba=a, aaabaa=a⟩φ(a) = a, φ(b) = b
1119636⟨a, b | aba=a, aaaab=ab⟩φ(a) = a, φ(b) = b
1120178⟨a, b | aba=a, aaaa=aba⟩φ(a) = a, φ(b) = b