#4837 ⟨a, b | ababbaab=bba⟩

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^-1b^-1b^-1⟩
- Embedding: φ(a) = b^-1a, φ(b) = b

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

# ab:ababbaab=bba reversed:ac/b bba=c magic:0
abacc=cacab
abacac=cba
abacab=c
bba=c
bbc=cbacab

1 unique, 1 total

Σ	#	Presentation	Properties
11	4133	⟨a, b \| aababbaab=ba⟩	Can Inf