#27141 ⟨a, b | aa=1, abbabab=bb⟩

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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. b7 ⇒ b3
  2. bab6 ⇒ bab2
  3. b4ab2 ⇒ ab6
  4. a2 ⇒ 1
  5. abab2 ⇒ b2ab3
  6. (ab2)2 ⇒ bab5
  7. ab3ab2 ⇒ b3ab4
  8. b2(ab)2 ⇒ ab2 
# ab:aa=1,abbabab=bb b/a
bbbbbbb=bbb
babbbbbb=babb
bbbbabb=abbbbbb
aa=1
ababb=bbabbb
abbabb=babbbbb
abbbabb=bbbabbbb
bbabab=abb

Right Cayley graph (truncated)

Left Cayley graph (truncated)

Other anti-isomorphic instances

The mapping is from the listed presentation's alphabet to the current rewriting system's alphabet.

1 total

Σ#PresentationMapping
1127732⟨a, b | aa=1, bababb=bba⟩φ(a) = a, φ(b) = b