#16056 ⟨a, b | aaa=bb, aabb=aa⟩

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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. c4 ⇒ c
  2. ac ⇒ c3
  3. ca ⇒ c3
  4. a2 ⇒ c
  5. cbc3 ⇒ cb
  6. cba ⇒ cbc2
  7. c3b ⇒ bc3
  8. abc ⇒ c2bc
  9. b2 ⇒ c3 
# ab:aaa=bb,aabb=aa c/a/b aa=c frequency:2/0
cccc=c
ac=ccc
ca=ccc
aa=c
cbccc=cb
cba=cbcc
cccb=bccc
abc=ccbc
bb=ccc

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
1116064⟨a, b | aaa=bb, abba=aa⟩φ(a) = a, φ(b) = b