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〈a, b | aaa=1, abbb=ba〉

Monoid presentation of length 9

Properties

Completion parameters

Complete rewriting system

  1. b27 ⇒ b
  2. ba ⇒ ab3
  3. a3 ⇒ 1

Idempotents

2 elements

Right Cayley graph

Left Cayley graph

Others with same cardinality

2 unique, 3 total

Length:Presentation:Description:Related:
11 〈a, b | aaa=1, ababab=ba〉 Finite non-commutative monoid with 81 elements
11 〈a, b | aaa=1, aabbb=baa〉 Finite non-commutative monoid with 81 elements 1 isomorphic

Other isomorphic instances

2 total

Length:Presentation:
10〈a, b | aaa=1, aaba=bbb〉
11〈a, b | aaa=1, aabbb=aba〉

Other anti-isomorphic instances

1 total

Length:Presentation:
10〈a, b | aaa=1, aabbba=b〉