#9733 ⟨a, b | aa=1, abababb=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. a2 ⇒ 1
  2. (ba)2b2 ⇒ ab
  3. b(ab)3 ⇒ b 
# ab:aa=1,abababb=b ab
aa=1
bababb=ab
bababab=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.

1 total

Σ#PresentationMapping
1010044⟨a, b | aa=1, bababb=ab⟩φ(a) = a, φ(b) = b