#3954 ⟨a, b | aaaabbbba=bb⟩

Properties

Sum of relation sides is 11
Infinite cancellative non-commutative monoid
Element a has infinite order
Submonoid of enveloping group: ⟨a, b | aaaabbab^-1b^-1b^-1b^-1⟩
- Anti-isomorphic embedding: φ(a) = a, φ(b) = b^-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.	a⁴b⁴a ⇒ b²	[1]
2.	a⁴b⁶ ⇒ b²a³b⁴a	[2]

# ab:aaaabbbba=bb ba - -
aaaabbbba=bb
aaaabbbbbb=bbaaabbbba

1 unique, 1 total

Σ	#	Presentation	Properties
11	4994	⟨a, b \| aaaabba=bbbb⟩	Can Inf