#2576 ⟨a, b | aaa=1, abab=ab⟩

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

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.

5 total

Σ#PresentationMapping
107491⟨a, b | aaa=1, aaabab=b⟩φ(a) = a, φ(b) = b
107533⟨a, b | aaa=1, baaaab=b⟩φ(a) = a, φ(b) = b
108035⟨a, b | aaa=1, aaab=bab⟩φ(a) = a, φ(b) = b
1122757⟨a, b | aaa=1, aabab=aab⟩φ(a) = a, φ(b) = b
1122790⟨a, b | aaa=1, ababa=aba⟩φ(a) = a, φ(b) = b