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n-group (category theory)
English Wikipedia - The Free Encyclopedia
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N-group (category theory)
In
mathematics
, an
n
-group
, or
n
-dimensional higher group
, is a special kind of
n-category
that generalises the concept of
group
to
higher-dimensional algebra
. Here,
n
may be any
natural number
or
infinity
. The thesis of
Alexander Grothendieck
's student
Hoàng Xuân Sính
was an in-depth study of
2-groups
under the monniker 'gr-category'.
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