#4802 ⟨a, b | abaabbab=baa⟩

Properties

Sum of relation sides is 11
Infinite cancellative non-commutative monoid
Element a has infinite order
Submonoid of enveloping group: ⟨a, b | aabab^-1ab^-1a^-1bb⟩
- Anti-isomorphic embedding: φ(a) = b^-1, φ(b) = ab

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 = baa
Reduction order:
- Left-to-right recursive path with deg(b) = deg(c) = 0, b < c; deg(a) = 1
Certificate: derivations of all rewriting rules from the defining relations.

# ab:abaabbab=baa bc/a baa=c magic:0
ccbbab=bac
acbbab=c
baa=c
caa=acbbac

1 unique, 1 total

Σ	#	Presentation	Properties
11	4118	⟨a, b \| aababaabb=ba⟩	Can Inf

1 unique, 1 total

Σ	#	Presentation	Properties
11	4773	⟨a, b \| abaaabab=bba⟩	Can Inf