#635 ⟨a, b | aaabababa=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. a4 ⇒ c
  3. dc ⇒ 1
  4. cd ⇒ 1
  5. ad ⇒ da
  6. ab ⇒ cbda
  7. c3b ⇒ bc3
  8. db ⇒ c2bd3
  9. b(cb)2 ⇒ a2 
# ab:aaabababa=1 ca/d/b aaaa=c,babab=d magic:0
ac=ca
aaaa=c
dc=1
cd=1
ad=da
ab=cbda
cccb=bccc
db=ccbddd
bcbcb=aa

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.

2 total

Σ#PresentationMapping
9668⟨a, b | aabababaa=1⟩φ(a) = a, φ(b) = b
9710⟨a, b | ababaaaab=1⟩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.

1 total

Σ#PresentationMapping
9697⟨a, b | abaaaabab=1⟩φ(a) = a, φ(b) = b