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〈a, b | aaba=b, babb=a〉

Monoid presentation of length 10

Properties

Completion parameters

Complete rewriting system

  1. a10 ⇒ a
  2. ba9 ⇒ b
  3. ab ⇒ ba4
  4. b3 ⇒ a3

Idempotents

2 elements

Right Cayley graph

Left Cayley graph

Others with same cardinality

7 unique, 8 total

Length:Presentation:Description:Related:
10 〈a, b | aaaa=a, abba=b〉 Finite non-commutative monoid with 28 elements
10 〈a, b | aaaa=a, abbb=b〉 Finite non-commutative monoid with 28 elements
10 〈a, b | aaab=b, babb=a〉 Finite non-commutative monoid with 28 elements
10 〈a, b | aaab=b, bbab=a〉 Finite non-commutative monoid with 28 elements
10 〈a, b | aaba=b, bbab=a〉 Finite non-commutative monoid with 28 elements
11 〈a, b | aaaa=a, aabbb=b〉 Finite non-commutative monoid with 28 elements 1 isomorphic
11 〈a, b | aaaa=a, ababa=b〉 Finite non-commutative monoid with 28 elements