#1990 ⟨a, b | aaa=a, abba=a⟩

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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 ⇒ a
  2. ab2a ⇒ a 
# ab:aaa=a,abba=a ab
aaa=a
abba=a

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
1112250⟨a, b | aaab=ab, abba=a⟩φ(a) = a, φ(b) = b
1118700⟨a, b | aaa=a, aaabba=a⟩φ(a) = a, φ(b) = b
1118710⟨a, b | aaa=a, aabbaa=a⟩φ(a) = a, φ(b) = b
1119254⟨a, b | aaa=a, aabba=aa⟩φ(a) = a, φ(b) = b
1119814⟨a, b | aaa=a, abba=aaa⟩φ(a) = a, φ(b) = b