  We investigate the gauging of higher-form finite Abelian symmetries and their
sub-groups in quantum spin models in spatial dimensions $d=2$ and 3. Doing so,
we naturally uncover gauged models with dual higher-group symmetries and
potential mixed 't Hooft anomalies. We demonstrate that the mixed anomalies
manifest as the symmetry fractionalization of higher-form symmetries
participating in the mixed anomaly. Gauging is realized as an isomorphism or
duality between the bond algebras that generate the space of quantum spin
models with the dual generalized symmetry structures. We explore the mapping of
gapped phases under such gauging related dualities for 0-form and 1-form
symmetries in spatial dimension $d=2$ and 3. In $d=2$, these include several
non-trivial dualities between short-range entangled gapped phases with 0-form
symmetries and 0-form symmetry enriched Higgs and (twisted) deconfined phases
of the gauged theory with possible symmetry fractionalizations. Such dualities
also imply strong constraints on several unconventional, i.e., deconfined or
topological transitions. In $d=3$, among others, we find, dualities between
topological orders via gauging of 1-form symmetries. Hamiltonians self-dual
under gauging of 1-form symmetries host emergent non-invertible symmetries,
realizing higher-categorical generalizations of the Tambara-Yamagami fusion
category.
