#2576 ⟨a, b | aaa=1, abab=ab

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. a3 ⇒ 1 [1]
2. bab ⇒ b [3]
# ab:aaa=1,abab=ab ab
aaa=1
bab=b

Isomorphic instances

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

5 total

Σ#PresentationMapping
107491a, b | aaa=1, aaabab=bφ(a) = a, φ(b) = b
107533a, b | aaa=1, baaaab=bφ(a) = a, φ(b) = b
108035a, b | aaa=1, aaab=babφ(a) = a, φ(b) = b
1122757a, b | aaa=1, aabab=aabφ(a) = a, φ(b) = b
1122790a, b | aaa=1, ababa=abaφ(a) = a, φ(b) = b