#7546 ⟨a, b | aaa=1, bbaabb=a⟩

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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. c3 ⇒ 1
  2. b2cb2 ⇒ c2
  3. cb2cb ⇒ bcb2c
  4. c2bcb2 ⇒ b2cbc2
  5. a ⇒ c2 
# ab:aaa=1,bbaabb=a bc/a aa=c frequency:2/0
ccc=1
bbcbb=cc
cbbcb=bcbbc
ccbcbb=bbcbcc
a=cc

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.

3 total

Σ#PresentationMapping
1121167⟨a, b | aaa=1, aabbaabb=1⟩φ(a) = cc, φ(b) = b
1121204⟨a, b | aaa=1, abbaabba=1⟩φ(a) = cc, φ(b) = b
1121231⟨a, b | aaa=1, baabbaab=1⟩φ(a) = cc, φ(b) = b