  Islambouli showed that there exist infinitely many 4-manifolds admitting
non-isotopic trisections using a Nielsen equivalence, which can be used to
construct non-isotopic Heegaard splittings. In this paper, we show that there
exist infinitely many 4-manifolds admitting non-isotopic bisections in the same
way. Moreover, we show that there exist infinitely many 4-manifolds admitting
non-isotopic 4-sections by considering the doubles of the bisections.
