#237 ⟨a, b | aaaa=bab⟩

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Contents

  1. Properties
  2. Rewriting system
  3. Other submonoids of same 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. a5b ⇒ ba5 [2]
2. bab ⇒ a4 [1]
# ab:aaaa=bab a/b - -
aaaaab=baaaaa
bab=aaaa

Other submonoids of same group

7 unique, 18 total

Σ#PresentationPropertiesφ
7131⟨a, b | aaaabba=1⟩Grp Inf11
7196⟨a, b | abbbba=b⟩Can Inf
7199⟨a, b | aaaaa=bb⟩Can Inf
7232⟨a, b | abbba=bb⟩Can Inf
7268⟨a, b | abba=bbb⟩Can Inf
102333⟨a, b | abababa=bab⟩Can Inf
102767⟨a, b | babab=ababa⟩Can Inf