#3593 ⟨a, b | aababababa=b⟩

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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. a(ab)4b ⇒ (ba)5 [2]
2. a2(ba)4 ⇒ b [1]
# ab:aababababa=b ba - -
aababababb=bababababa
aababababa=b

Other submonoids of same group

5 unique, 10 total

Σ#PresentationPropertiesφ
9617⟨a, b | aaaababba=1⟩Grp Inf5
91128⟨a, b | ababba=bbb⟩Can Inf
102084⟨a, b | abbabbba=bb⟩Can Inf
113829⟨a, b | abbbabbbba=b⟩Can Inf
115363⟨a, b | abababa=babb⟩Can Inf

Other submonoids of anti-isomorphic group

2 unique, 2 total

Σ#PresentationProperties
8392⟨a, b | aabbbba=b⟩Can Inf
8590⟨a, b | babb=aaaa⟩Can Inf