#306 ⟨a, b | aabababa=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. cd ⇒ 1
  2. dc ⇒ 1
  3. ac ⇒ ca
  4. ad ⇒ da
  5. a3 ⇒ c
  6. db ⇒ cbd2
  7. ab ⇒ cbda
  8. c2b ⇒ bc2
  9. b(cb)2 ⇒ a 
# ab:aabababa=1 cda/b aaa=c,babab=d magic:0
cd=1
dc=1
ac=ca
ad=da
aaa=c
db=cbdd
ab=cbda
ccb=bcc
bcbcb=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.

1 total

Σ#PresentationMapping
8329⟨a, b | ababaaab=1⟩φ(a) = a, φ(b) = b