#3146 ⟨a, b | aa=a, bab=aba⟩

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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. a2 ⇒ a
  2. bab ⇒ aba 
# ab:aa=a,bab=aba ab
aa=a
bab=aba

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.

6 total

Σ#PresentationMapping
109131⟨a, b | aa=a, aaba=bab⟩φ(a) = a, φ(b) = b
109166⟨a, b | aa=a, baab=aba⟩φ(a) = a, φ(b) = b
1125135⟨a, b | aa=a, aaaba=bab⟩φ(a) = a, φ(b) = b
1125150⟨a, b | aa=a, aabaa=bab⟩φ(a) = a, φ(b) = b
1125222⟨a, b | aa=a, baaab=aba⟩φ(a) = a, φ(b) = b
1125692⟨a, b | aa=a, baab=aaba⟩φ(a) = a, φ(b) = b