#1007 ⟨a, b | aaaaaa=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. a7b ⇒ ba7 [2]
2. bab ⇒ a6 [1]
# ab:aaaaaa=bab a/b - -
aaaaaaab=baaaaaaa
bab=aaaaaa

Other submonoids of same group

7 unique, 15 total

Σ#PresentationPropertiesφ
9601⟨a, b | aaaaaabba=1⟩Grp Inf8
9866⟨a, b | abbbbbba=b⟩Can Inf
9869⟨a, b | aaaaaaa=bb⟩Can Inf
91002⟨a, b | abbbbba=bb⟩Can Inf
91138⟨a, b | abbbba=bbb⟩Can Inf
91146⟨a, b | aaaaa=baab⟩Can Inf
91274⟨a, b | abbba=bbbb⟩Can Inf