#4650 ⟨a, b | aabababa=bbb⟩

Properties

Sum of relation sides is 11
Infinite cancellative non-commutative monoid
Element a has infinite order
Submonoid of enveloping group: ⟨a, b | aaaababbbb⟩
- Embedding: φ(a) = ba, 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(ba)³ ⇒ b³	[1]
2.	b²(ba)⁴ ⇒ a(ab)³b³	[2]

# ab:aabababa=bbb ab - -
aabababa=bbb
bbbabababa=aabababbbb

1 unique, 4 total

Σ	#	Presentation	Properties	φ
10	1364	⟨a, b \| aaababbbba=1⟩	Grp Inf	3