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a, b | aa=1, abbabbba=b

Monoid presentation of length 11

Properties

Completion parameters

Complete rewriting system

  1. b9b
  2. bab8ba
  3. b8aab8
  4. a2 ⇒ 1
  5. abab2ab3
  6. ab2abab5
  7. ab3ab6ab
  8. ab4ab4ab4
  9. ab5ab7ab2
  10. ab6ab3ab7
  11. ab7ab5ab6

Idempotents

2 elements

Right Cayley graph

Left Cayley graph

Others with same cardinality

1 unique, 1 total

Length:Presentation:Description:Related:
11 a, b | aa=1, abbbabb=ba Finite non-commutative monoid with 74 elements

Other isomorphic instances

2 total

Length:Presentation:
11a, b | aa=1, abbabbb=ba
11a, b | aa=1, bbabbb=aba