#12195 ⟨a, b | aaaa=ab, bbbb=b⟩

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Properties

Element profile

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. a13 ⇒ a4
  2. ab ⇒ a4
  3. b4 ⇒ b 
# ab:aaaa=ab,bbbb=b a/b
aaaaaaaaaaaaa=aaaa
ab=aaaa
bbbb=b

Right Cayley graph

Left Cayley graph

Others with same cardinality

1 unique, 4 total

Σ#PresentationDescriptionRelated
103767⟨a, b | aaaa=ab, bbbb=1⟩Finite non-commutative monoid with 52 elements3 anti-iso