#3826 ⟨a, b | abbbaabbba=b⟩

Properties

Sum of relation sides is 11
Infinite cancellative non-commutative monoid
Element a has infinite order
Submonoid of enveloping group: ⟨a, b | aaaabbaaabb⟩
- Embedding: φ(a) = aaba, φ(b) = a^-1

Format:	Pretty Plain
Word:
	Enter a word above to compute its normal form. Tips: Lowercase letters stand for generators. Spaces are ignored. Numbers repeat the previous letter, e.g. `b90`.
Strategy:	Leftmost Rightmost
Result:	1 1

Auxiliary generators:
1. c = bbba
Reduction order:
- Left-to-right recursive path with deg(a) = deg(c) = 0, a < c; deg(b) = 1
Certificate: derivations of all rewriting rules from the defining relations.
Morphocompletion: how the auxiliary generators were found.

# ab:abbbaabbba=b ac/b bbba=c morph:4/0
cca=acc
acacacacacaca=c
b=acac

1 unique, 5 total

Σ	#	Presentation	Properties	φ
11	2956	⟨a, b \| aaabbaaaabb=1⟩	Grp Inf	4