#2898 ⟨a, b | aaaabbbbbba=1⟩

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Quick links

  1. Properties
  2. Rewriting system
  3. Isomorphic instances

Properties

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
#RuleProof
1. ca ⇒ ac [5]
2. cb ⇒ bc [15]
3. cd ⇒ 1 [8]
4. da ⇒ ad [17]
5. db ⇒ bd [9]
6. dc ⇒ 1 [14]
7. a5 ⇒ c [2]
8. b6 ⇒ d [3]
# ab:aaaabbbbbba=1 abcd aaaaa=c,bbbbbb=d magic:0
ca=ac
cb=bc
cd=1
da=ad
db=bd
dc=1
aaaaa=c
bbbbbb=d

Isomorphic instances

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

1 total

Σ#PresentationMapping
113002⟨a, b | aaabbbbbbaa=1⟩φ(a) = a, φ(b) = b