#1763 ⟨a, b | abaabaaab=a⟩

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:
- Right-to-left recursive path with deg(d) = 0; deg(c) = 1; deg(e) = deg(a) = deg(b) = 2, e < a < b
Auxiliary generator: ab=c
Auxiliary generator: ac=d
Auxiliary generator: ada=e

ed ⇒ cd³e
d²ec ⇒ cdcd³e
d²cdec ⇒ cde
cdecd ⇒ ec
(cd)²ec² ⇒ d
a ⇒ (cd)²ec
e²c ⇒ cdec²d(cd³)²e
(ec)² ⇒ d²cd³e
ecdec ⇒ cdec²dcd³e
ec²dec ⇒ d²e
e(cd)²ec ⇒ cdec²de
cdec(cd)²ec ⇒ e
eb ⇒ cdec²
(cd)²ecb ⇒ c

# ab:abaabaaab=a reversed:d/c/eab ab=c,ac=d,ada=e frequency:2/1,2/1,3/0
ed=cddde
ddec=cdcddde
ddcdec=cde
cdecd=ec
cdcdecc=d
a=cdcdec
eec=cdeccdcdddcddde
ecec=ddcddde
ecdec=cdeccdcddde
eccdec=dde
ecdcdec=cdeccde
cdeccdcdec=e
eb=cdecc
cdcdecb=c

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#1763 ⟨a, b | abaabaaab=a⟩

Properties

Complete rewriting system

Right Cayley graph (truncated)

Left Cayley graph (truncated)