#4765 ⟨a, b | abaaaaba=bab⟩

Properties

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

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 = bab
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.

# ab:abaaaaba=bab ac/b bab=c magic:0
cb=abaaaac
cab=bac
caaaba=abaaac
caaaaba=bc
bab=c
abaaaaba=c

2 unique, 6 total

Σ	#	Presentation	Properties	φ
9	973	⟨a, b \| abaaaba=bb⟩	Can Inf
10	1451	⟨a, b \| aabbababba=1⟩	Grp Inf	4