#2558 ⟨a, b | aabbba=babb⟩

Properties

Sum of relation sides is 10
Infinite cancellative non-commutative monoid
Element a has infinite order
Submonoid of enveloping group: ⟨a, b | aaabab^-1aabb⟩
- Anti-isomorphic embedding: φ(a) = abaa, φ(b) = a^-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

#	Rule	Proof
1.	a²b³a ⇒ bab²	[1]
2.	a²b⁴ab² ⇒ bab²ab³a	[2]

# ab:aabbba=babb ba - -
aabbba=babb
aabbbbabb=babbabbba

1 unique, 1 total

Σ	#	Presentation	Properties
10	1712	⟨a, b \| aabbaaaba=b⟩	Can Inf