#1238 ⟨a, b | aabba=bbbb⟩

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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. a2b2ab ⇒ ba2b2a [2]
2. b4 ⇒ a2b2a [1]
# ab:aabba=bbbb a/b - -
aabbab=baabba
bbbb=aabba

Other submonoids of same group

3 unique, 10 total

Σ#PresentationPropertiesφ
102342⟨a, b | ababbba=bbb⟩Can Inf
112815⟨a, b | aaaaabaabba=1⟩Grp Inf7
114350⟨a, b | abbabbbba=bb⟩Can Inf

Other submonoids of anti-isomorphic group

2 unique, 2 total

Σ#PresentationProperties
9966⟨a, b | aabbbba=bb⟩Can Inf
101798⟨a, b | ababbbbba=b⟩Can Inf