#594 ⟨a, b | bbbb=aaaa⟩

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. b4 ⇒ a4 [1]
2. ba4 ⇒ a4b [2]
# ab:bbbb=aaaa ab - -
bbbb=aaaa
baaaa=aaaab

Other submonoids of same group

2 unique, 3 total

Σ#PresentationPropertiesφ
8298⟨a, b | aaabbbba=1⟩Grp Inf1
102334⟨a, b | abababa=bbb⟩Can Inf