#4857 ⟨a, b | abbaaaab=baa⟩

Properties

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

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

# ab:abbaaaab=baa reversed:bc/a aa=c morph:2/0
ac=ca
abc=cbbccb
abbccb=bc
aa=c

1 unique, 1 total

Σ	#	Presentation	Properties
11	4153	⟨a, b \| aabbaaaab=ba⟩	Can Inf