#896 ⟨a, b | aa=a, babb=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. ab6 ⇒ a
  2. ba ⇒ ab4
  3. a2 ⇒ a 
# ab:aa=a,babb=a b/a
abbbbbb=a
ba=abbbb
aa=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.

13 total

Σ#PresentationMapping
92886⟨a, b | aa=a, baabb=a⟩φ(a) = a, φ(b) = b
93029⟨a, b | aa=a, babb=aa⟩φ(a) = a, φ(b) = b
105148⟨a, b | aab=ab, babb=a⟩φ(a) = a, φ(b) = b
108622⟨a, b | aa=a, baaabb=a⟩φ(a) = a, φ(b) = b
108895⟨a, b | aa=a, baabb=aa⟩φ(a) = a, φ(b) = b
109170⟨a, b | aa=a, babb=aaa⟩φ(a) = a, φ(b) = b
1112303⟨a, b | aaab=bb, abaa=b⟩φ(a) = b, φ(b) = a
1115431⟨a, b | aaa=aa, baabb=a⟩φ(a) = a, φ(b) = b
1115647⟨a, b | aab=ab, baabb=a⟩φ(a) = a, φ(b) = b
1124150⟨a, b | aa=a, baaaabb=a⟩φ(a) = a, φ(b) = b
1124691⟨a, b | aa=a, baaabb=aa⟩φ(a) = a, φ(b) = b
1125226⟨a, b | aa=a, baabb=aaa⟩φ(a) = a, φ(b) = b
1125700⟨a, b | aa=a, babb=aaaa⟩φ(a) = a, φ(b) = b

Other anti-isomorphic instances

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

11 total

Σ#PresentationMapping
105152⟨a, b | aab=ab, bbab=a⟩φ(a) = a, φ(b) = b
105268⟨a, b | aba=ab, bbab=a⟩φ(a) = a, φ(b) = b
1114612⟨a, b | aaba=b, aabab=b⟩φ(a) = b, φ(b) = a
1114614⟨a, b | aaba=b, aabba=b⟩φ(a) = b, φ(b) = a
1114636⟨a, b | aaba=b, baaab=b⟩φ(a) = b, φ(b) = a
1114638⟨a, b | aaba=b, baaba=b⟩φ(a) = b, φ(b) = a
1114642⟨a, b | aaba=b, babaa=b⟩φ(a) = b, φ(b) = a
1114650⟨a, b | aaba=b, bbaaa=b⟩φ(a) = b, φ(b) = a
1115659⟨a, b | aab=ab, bbaab=a⟩φ(a) = a, φ(b) = b
1115891⟨a, b | aba=ab, bbaab=a⟩φ(a) = a, φ(b) = b
1115893⟨a, b | aba=ab, bbaba=a⟩φ(a) = a, φ(b) = b