#1370 ⟨a, b | aaabbaabba=1⟩

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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. ac ⇒ ca
  2. cd ⇒ 1
  3. dc ⇒ 1
  4. ad ⇒ da
  5. a4 ⇒ c
  6. bc3 ⇒ c3b
  7. bd ⇒ d3bc2
  8. ba2 ⇒ d2a2bc2
  9. bca2 ⇒ ca2b
  10. bc2a2 ⇒ ca2bc
  11. b2c ⇒ cb2
  12. b4 ⇒ d2a2 
# ab:aaabbaabba=1 reversed:c/ad/b aaaa=c,bbaabb=d magic:0
ac=ca
cd=1
dc=1
ad=da
aaaa=c
bccc=cccb
bd=dddbcc
baa=ddaabcc
bcaa=caab
bccaa=caabc
bbc=cbb
bbbb=ddaa

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
101444⟨a, b | aabbaabbaa=1⟩φ(a) = a, φ(b) = b