#2908 ⟨a, b | aaabaaababa=1⟩

Quick links

  1. Properties
  2. Rewriting system
  3. Isomorphic instances
  4. Anti-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)2 ⇒ a [27]
2. a3cac ⇒ (ca2)2 [24]
3. (ca2)2b ⇒ 1 [26]
4. a3ca2b ⇒ ca2ca [23]
5. bc ⇒ (cac)2b [11]
6. ba ⇒ a2(cac)3b [17]
# ab:aaabaaababa=1 reversed:c/a/b aba=c morph:3/0
caacac=a
aaacac=caacaa
caacaab=1
aaacaab=caaca
bc=caccacb
ba=aacaccaccacb

Isomorphic instances

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

1 total

Σ#PresentationMapping
113053a, b | aababaaaaba=1⟩φ(a) = a, φ(b) = b

Anti-isomorphic instances

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

1 total

Σ#PresentationMapping
113185a, b | abaaabaaaab=1⟩φ(a) = a, φ(b) = b