#3523 ⟨a, b | aa=1, abbbb=bb⟩

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Properties

Complete rewriting system

Format:
Word to reduce:
Tips:
  • Lowercase letters stand for generators.
  • Spaces are ignored.
  • Numbers repeat the previous letter, e.g. b90.
Reduction strategy:
Path to normal form: 1 
1
  1. b6 ⇒ b2
  2. ab2 ⇒ b4
  3. a2 ⇒ 1 
# ab:aa=1,abbbb=bb b/a
bbbbbb=bb
abb=bbbb
aa=1

Right Cayley graph (truncated)

Left Cayley graph (truncated)

Other isomorphic instances

The mapping is from the listed presentation's alphabet to the current rewriting system's alphabet.

15 total

Σ#PresentationMapping
93677⟨a, b | aa=1, bbbb=abb⟩φ(a) = a, φ(b) = b
1127029⟨a, b | aa=1, aaabbbb=bb⟩φ(a) = a, φ(b) = b
1127106⟨a, b | aa=1, abaabbb=bb⟩φ(a) = a, φ(b) = b
1127117⟨a, b | aa=1, abababb=bb⟩φ(a) = a, φ(b) = b
1127137⟨a, b | aa=1, abbaabb=bb⟩φ(a) = a, φ(b) = b
1127152⟨a, b | aa=1, abbbaab=bb⟩φ(a) = a, φ(b) = b
1127607⟨a, b | aa=1, aabbbb=abb⟩φ(a) = a, φ(b) = b
1127721⟨a, b | aa=1, baabbb=abb⟩φ(a) = a, φ(b) = b
1127729⟨a, b | aa=1, bababb=abb⟩φ(a) = a, φ(b) = b
1127751⟨a, b | aa=1, bbaabb=abb⟩φ(a) = a, φ(b) = b
1128081⟨a, b | aa=1, aaabb=bbbb⟩φ(a) = a, φ(b) = b
1128155⟨a, b | aa=1, abaab=bbbb⟩φ(a) = a, φ(b) = b
1128211⟨a, b | aa=1, abbbb=aabb⟩φ(a) = a, φ(b) = b
1128217⟨a, b | aa=1, abbbb=baab⟩φ(a) = a, φ(b) = b
1128220⟨a, b | aa=1, abbbb=bbaa⟩φ(a) = a, φ(b) = b

Other anti-isomorphic instances

The mapping is from the listed presentation's alphabet to the current rewriting system's alphabet.

6 total

Σ#PresentationMapping
1127079⟨a, b | aa=1, aabbbba=bb⟩φ(a) = a, φ(b) = b
1127610⟨a, b | aa=1, aabbbb=bba⟩φ(a) = a, φ(b) = b
1127685⟨a, b | aa=1, abbbba=abb⟩φ(a) = a, φ(b) = b
1127724⟨a, b | aa=1, baabbb=bba⟩φ(a) = a, φ(b) = b
1128123⟨a, b | aa=1, aabba=bbbb⟩φ(a) = a, φ(b) = b
1128214⟨a, b | aa=1, abbbb=abba⟩φ(a) = a, φ(b) = b