#2581 ⟨a, b | aaa=1, abba=bb⟩

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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. ab2 ⇒ b2a2 
# ab:aaa=1,abba=bb a/b
aaa=1
abb=bbaa

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.

4 total

Σ#PresentationMapping
108052⟨a, b | aaa=1, aabb=bba⟩φ(a) = a, φ(b) = b
1122237⟨a, b | aaa=1, aabbaa=bb⟩φ(a) = a, φ(b) = b
1122767⟨a, b | aaa=1, aabba=abb⟩φ(a) = a, φ(b) = b
1122792⟨a, b | aaa=1, ababa=bab⟩φ(a) = a, φ(b) = aab