#5336 ⟨a, b | abaabba=bbab⟩

Properties

Sum of relation sides is 11
Infinite cancellative non-commutative monoid
Element a has infinite order
Submonoid of enveloping group: ⟨a, b | aabab^-1aba^-1bb⟩
- Embedding: φ(a) = ba, φ(b) = b^-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 = bbab
Reduction order:
- Left-to-right recursive path with deg(a) = 0; deg(c) = deg(b) = 1, c < b
Certificate: derivations of all rewriting rules from the defining relations.

# ab:abaabba=bbab a/cb bbab=c magic:0
abaac=cb
bbc=caabba
bbac=cbab
bbab=c
abaabba=c

1 unique, 1 total

Σ	#	Presentation	Properties
11	3589	⟨a, b \| aababaabba=b⟩	Can Inf

1 unique, 1 total

Σ	#	Presentation	Properties
11	3720	⟨a, b \| abaaababba=b⟩	Can Inf