#1076 ⟨a, b | aababa=bbb⟩

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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. b3 ⇒ a2(ba)2 [1]
2. a(ab)3 ⇒ ba2(ba)2 [2]
# ab:aababa=bbb a/b - -
bbb=aababa
aababab=baababa

Other submonoids of same group

2 unique, 7 total

Σ#PresentationPropertiesφ
9639⟨a, b | aaababbba=1⟩Grp Inf5
114313⟨a, b | ababbabba=bb⟩Can Inf

Other submonoids of anti-isomorphic group

1 unique, 1 total

Σ#PresentationProperties
101965⟨a, b | aabababa=bb⟩Can Inf