#5146 ⟨a, b | aabaaba=bbab⟩

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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. (a2b)2a ⇒ b2ab [1]
2. b(ba)3 ⇒ a2b3ab [2]
# ab:aabaaba=bbab ab - -
aabaaba=bbab
bbababa=aabbbab

Other submonoids of same group

2 unique, 8 total

Σ#PresentationPropertiesφ
113040⟨a, b | aabaababbba=1⟩Grp Inf6
113612⟨a, b | aababbabba=b⟩Can Inf

Other submonoids of anti-isomorphic group

1 unique, 1 total

Σ#PresentationProperties
114091⟨a, b | aabaababa=bb⟩Can Inf