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〈a, b | aaaaa=1, ababbb=1〉

Monoid presentation of length 11

Properties

Completion parameters

Inverses of generators

Complete rewriting system

  1. b20 ⇒ 1
  2. b2a ⇒ ab2
  3. aba ⇒ b17
  4. a3 ⇒ ba2b7

Right Cayley graph

Left Cayley graph

Others with same cardinality

6 unique, 10 total

Length:Presentation:Description:Related:
9 〈a, b | baab=a, bbbb=1〉 Finite non-commutative monoid with 100 elements 2 isomorphic
9 〈a, b | aba=bb, aaaa=1〉 Finite non-commutative monoid with 100 elements 2 isomorphic
10 〈a, b | bab=aba, aaaa=1〉 Finite non-commutative monoid with 100 elements
10 〈a, b | aaaa=1, ababa=b〉 Finite non-commutative monoid with 100 elements
11 〈a, b | abba=bab, bbbb=1〉 Finite non-commutative monoid with 100 elements
11 〈a, b | aaaa=1, abaaba=b〉 Finite non-commutative monoid with 100 elements

Other isomorphic instances

2 total

Length:Presentation:
11〈a, b | aaaaa=1, abbbab=1〉
11〈a, b | aaaaa=1, bababb=1〉