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〈a, b | baa=abb, aaaa=1〉

Monoid presentation of length 10

Properties

Completion parameters

Complete rewriting system

  1. ba2 ⇒ ab2
  2. a4 ⇒ 1
  3. bab2 ⇒ a3b
  4. b4 ⇒ (ab)2
  5. b(ab)2 ⇒ b
  6. b3ab ⇒ a2b3

Idempotents

3 elements

Right Cayley graph

Left Cayley graph

Others with same cardinality

3 unique, 6 total

Length:Presentation:Description:Related:
10 〈a, b | aabb=ba, bbbb=1〉 Finite non-commutative monoid with 44 elements 1 isomorphic
11 〈a, b | abab=bba, bbbb=1〉 Finite non-commutative monoid with 44 elements 1 isomorphic
11 〈a, b | babb=aba, bbbb=1〉 Finite non-commutative monoid with 44 elements 1 anti-isomorphic

Other anti-isomorphic instances

1 total

Length:Presentation:
10〈a, b | aaaa=1, aabba=b〉