#4714 ⟨a, b | aabbabba=bbb⟩

Properties

Sum of relation sides is 11
Infinite cancellative non-commutative monoid
Element a has infinite order
Submonoid of enveloping group: ⟨a, b | aaaaabaabbb⟩
- Embedding: φ(a) = aab, 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.	a²(b²a)² ⇒ b³	[1]
2.	b(b²a)³ ⇒ a²b²ab⁵	[2]

# ab:aabbabba=bbb ab - -
aabbabba=bbb
bbbabbabba=aabbabbbbb

1 unique, 8 total

Σ	#	Presentation	Properties	φ
11	2853	⟨a, b \| aaaabaabbba=1⟩	Grp Inf	7