#4178 ⟨a, b | aabbababa=bb⟩

Properties

Sum of relation sides is 11
Infinite cancellative non-commutative monoid
Element a has infinite order
Submonoid of enveloping group: ⟨a, b | aaababa^-1bbb⟩
- Embedding: φ(a) = ab, 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.	a²b(ba)³ ⇒ b²	[1]
2.	b²ab(ba)³ ⇒ a²b(ba)²b³	[2]

# ab:aabbababa=bb ab - -
aabbababa=bb
bbabbababa=aabbababbb

1 unique, 1 total

Σ	#	Presentation	Properties
10	1654	⟨a, b \| aaabbbaba=b⟩	Can Inf

1 unique, 1 total

Σ	#	Presentation	Properties
11	5700	⟨a, b \| aababa=babbb⟩	Can Inf