#21725 ⟨a, b | aaa=1, abababb=b⟩

Properties

Sum of relation sides is 11
Infinite non-cancellative non-commutative monoid
Element ba² has infinite order
Not left cancellative, because left multiplication by b is not injective:
- b ⋅ (ab)³ = b and b ⋅ 1 = b, however (ab)³ ≠ 1
Not right cancellative, because right multiplication by b is not injective:
- (ba)³ ⋅ b = b and 1 ⋅ b = b, however (ba)³ ≠ 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

# ab:aaa=1,abababb=b ab - -
aaa=1
bababb=aab
bababab=b
bababaab=ab