#2333 ⟨a, b | abababa=bab⟩

Properties

Presentation has sum-of-sides 10
Infinite non-commutative monoid

Complete rewriting system

Format:	Pretty Plain
Word to reduce:
	Tips: Lowercase letters stand for generators. Spaces are ignored. Numbers repeat the previous letter, e.g. `b90`.
Reduction strategy:	Leftmost Rightmost
Path to normal form:	1 1

Reduction order:
- Left-to-right recursive path with deg(c) = 0; deg(d) = deg(b) = deg(a) = 1, d < b < a
Auxiliary generator: ba=c
Auxiliary generator: bc=d

c⁵d ⇒ dc⁵
bc ⇒ d
c⁵b ⇒ dc⁴
ac³ ⇒ cb
c⁴a ⇒ dc
d² ⇒ c⁵
db ⇒ c⁴
bdc ⇒ dc³a
ba ⇒ c
adc ⇒ cda
acdc ⇒ cdca
ac²dc ⇒ cdc²a

# ab:abababa=bab c/dba ba=c,bc=d frequency:2/0,2/3
cccccd=dccccc
bc=d
cccccb=dcccc
accc=cb
cccca=dc
dd=ccccc
db=cccc
bdc=dccca
ba=c
adc=cda
acdc=cdca
accdc=cdcca

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#2333 ⟨a, b | abababa=bab⟩

Properties

Complete rewriting system

Right Cayley graph (truncated)

Left Cayley graph (truncated)