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〈a, b | abab=1, aaabbba=1〉

Monoid presentation of length 11

Properties

Completion parameters

Inverses of generators

Complete rewriting system

  1. a8 ⇒ 1
  2. a4b ⇒ ba4
  3. b2 ⇒ aba5
  4. bab ⇒ a7
  5. ba2b ⇒ a3ba7
  6. aba3b ⇒ (ba3)2

Right Cayley graph

Left Cayley graph

Others with same cardinality

6 unique, 12 total

Length:Presentation:Description:Related:
10 〈a, b | aaaa=bb, abab=1〉 Finite non-Abelian group with 48 elements
10 〈a, b | aa=1, ababbbbb=1〉 Finite non-Abelian group with 48 elements 4 isomorphic
11 〈a, b | aaa=bb, ababbb=1〉 Finite non-Abelian group with 48 elements 2 isomorphic
11 〈a, b | abab=1, aabbaa=b〉 Finite non-Abelian group with 48 elements
11 〈a, b | aaa=1, abbbbbb=b〉 Finite non-commutative monoid with 48 elements
11 〈a, b | aaa=1, bbbbbb=ab〉 Finite non-commutative monoid with 48 elements

Other isomorphic instances

6 total

Length:Presentation:
11〈a, b | abab=1, aabbbaa=1〉
11〈a, b | abab=1, aabbbba=1〉
11〈a, b | abab=1, abbbaaa=1〉
11〈a, b | abab=1, abbbbaa=1〉
11〈a, b | abab=1, bbbaaaa=1〉
11〈a, b | abab=1, bbaaa=ab〉