#5278 ⟨a, b | aabbbba=bbab⟩

Properties

Sum of relation sides is 11
Infinite cancellative non-commutative monoid
Element a has infinite order
Submonoid of enveloping group: ⟨a, b | aaaabaab^-1abb⟩
- Anti-isomorphic embedding: φ(a) = abaaa, 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.	a²b⁴a ⇒ b²ab	[1]
2.	a²b⁶ab ⇒ b(ba)²b⁴a	[2]

# ab:aabbbba=bbab ba - -
aabbbba=bbab
aabbbbbbab=bbababbbba

1 unique, 1 total

Σ	#	Presentation	Properties
11	3544	⟨a, b \| aabaaaabba=b⟩	Can Inf