#3790 ⟨a, b | ababbbabba=b⟩

Up:Monoid enumeration
Prev:#3789 ⟨a, b | ababbbabba=a⟩
Next:#3791 ⟨a, b | ababbbbaab=a⟩

Contents

  1. Properties
  2. Rewriting system
  3. Other submonoids of same group
  4. Other submonoids of anti-isomorphic group

Properties

Rewriting system

Format:
Word:
Enter a word above to compute its normal form. Tips:
  • Lowercase letters stand for generators.
  • Spaces are ignored.
  • Numbers repeat the previous letter, e.g. b90.
Strategy:
Result: 1 
1
#RuleProof
1. ab(ab3)2 ⇒ b(bab2)2a [2]
2. a(bab2)2a ⇒ b [1]
# ab:ababbbabba=b ba - -
ababbbabbb=bbabbbabba
ababbbabba=b

Other submonoids of same group

3 unique, 9 total

Σ#PresentationPropertiesφ
9824⟨a, b | aabbbaba=b⟩Can Inf
9955⟨a, b | aabbaba=bb⟩Can Inf
112922⟨a, b | aaabaabbaba=1⟩Grp Inf6

Other submonoids of anti-isomorphic group

1 unique, 1 total

Σ#PresentationProperties
102506⟨a, b | aababa=babb⟩Can Inf