#2339 ⟨a, b | ababbba=baa⟩

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(b) = deg(c) = 0, b < c; deg(a) = 1
Auxiliary generator: baa=c

abab²c ⇒ ca
abab³c ⇒ bac
ba² ⇒ c
(ba)²c ⇒ cbab³c
baca ⇒ cbab²c
cbab³a ⇒ bac
cbab⁴ac ⇒ bacbab³c
cbab³ca ⇒ bacbab²c
c(bab²c)² ⇒ bac²a
(cbab²)²bc ⇒ (bac)²
abab³a ⇒ c
abab⁴ac ⇒ cbab³c

# ab:ababbba=baa bc/a baa=c magic:0
ababbc=ca
ababbbc=bac
baa=c
babac=cbabbbc
baca=cbabbc
cbabbba=bac
cbabbbbac=bacbabbbc
cbabbbca=bacbabbc
cbabbcbabbc=bacca
cbabbcbabbbc=bacbac
ababbba=c
ababbbbac=cbabbbc

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#2339 ⟨a, b | ababbba=baa⟩

Properties

Complete rewriting system

Right Cayley graph (truncated)

Left Cayley graph (truncated)