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protecting group
(organic chemistry) Any chemical entity that is temporarily reacted with a functional group so as to protect it from a subsequent reaction
free group
(group theory) A group that has a presentation without relators; equivalently, a free product of some number of copies of ℤ.
user group
(computing) A set of users grouped together on a system for administrative purposes. / (computing) A community of users of a particular machine, operating system, etc.
leaving group
(chemistry) An atom or group that is detached from the rest of a molecule during a reaction.
Fuchsian group
(mathematics) Any discrete group of isometries of the hyperbolic plane.
target group
(marketing) The primary group of people that something, usually an advertising campaign, is designed to appeal to.
front group
A front organization that appears to be an independent voluntary association or charitable organization.
breakout group
Any of several small groups of people, at a conference etc., who concentrate effort on a part of the main topic.
group ring
(algebra) Given ring R with identity not equal to zero, and group G=g_1,g_2,...,g_n, the group ring RG has elements of the form a_1g_1+a_2g_2+...+a_ng_n (where a_i isin R) such that the sum of a_1g_1+a_2g_2+...+a_ng_n and b_1g_1+b_2g_2+...+b_ng_n is (a_1+b_1)g_1+(a_2+b_2)g_2+...+(a_n+b_n)g_n and the product is ∑ₖ₌₁ⁿ(∑_(g_ig_j=g_k)a_ib_j)g_k.
additive group
(group theory) Any (often, but not necessarily, abelian) group whose binary operation is called addition.