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** and abelian
** Ab, the category of abelian groups
** Commutative semigroup, commutative monoid, abelian group, and commutative ring, algebraic structures with the commutative property
** Ab, the category of abelian groups, with the group of integers Z serving as the unit.
** free abelian group
** By the fundamental theorem of finitely generated abelian groups, it follows that abelian groups are amenable.

** and groups
** The additive groups of R and C are isomorphic.
** the classical Lie groups, namely the simple groups related to the projective special linear, unitary, symplectic, or orthogonal transformations over a finite field ;
** the exceptional and twisted groups of Lie type ( including the Tits group ).
** 4 quad characters ; groups of four characters displayed in a row
** Functional groups
** Major climate groups
** Publics – groups of individuals
** The public ( a. k. a. " the general public ") – the totality of such groups.
** the product of groups, and also the semidirect product, knit product and wreath product,
** the free product of groups
** The self-description of many Salafi and Wahhabi groups
** Finite groups
** Polycyclic groups
** Negatively curved groups
** Euclidean groups
** Coxeter groups
** Braid groups
** Geometrically finite groups
** Finitely presented simple groups.
** Fundamental groups of closed orientable two-dimensional manifolds.
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