** A Fuchsian group that preserves orientation and acts on the upper half-plane model of the hyperbolic plane is a discrete subgroup of the Lie group PSL ( 2, R ), the group of orientation preserving isometries of the upper half-plane model of the hyperbolic plane.

** For every non-empty set S there is a binary operation defined on S that makes it a group.

** The Nielsen – Schreier theorem, that every subgroup of a free group is free.

** In topology, morphisms between topological spaces are called continuous maps, and an automorphism of a topological space is a homeomorphism of the space to itself, or self-homeomorphism ( see homeomorphism group ).

** Terminology of the British Isles, discusses the sometimes ambiguous or contentious names for parts of the island group

** The B-52's ( album ), an album by the eponymous group

** School band, a group of student musicians who rehearse and perform instrumental music together

** Marching band, a group of performers that consist of instrumental musicians who generally perform outdoors and incorporate some type of marching ( and possibly other movements ) with their musical performance

** Han Chinese, the dominant ethnic group in mainland China, Taiwan and Singapore

** the exceptional and twisted groups of Lie type ( including the Tits group ).

** Religion and blood group with RH factor

** Religion ( or " NRE " if none ) and blood group with RH factor

** Blood group with RH factor

** First and middle initials and suffix ; blood group

** Social Security number with no dashes or spaces followed immediately by " USN ", space, blood group

** Blood group

** Fermentative hydrogen production, the fermentative conversion of organic substrate to biohydrogen manifested by a diverse group of bacteria

** The Pferdestärke PS ( German translation of horsepower ) is a name for a group of similar power measurements used in Germany around the end of the 19th century, all of about one metric horsepower in size.

** Propithecus diadema group

** Propithecus verreauxi group

** Parabolic induction: a method of constructing group representations of a reductive group from representations of its parabolic subgroups.

** five lectures, heard by the group, as blip. tv videos

** Diagnosis-related group

** Kuru ( archaeology ), an Indo-Aryan ethnic group

** Order † Sparassodonta ( formerly viewed as marsupials, now as a sister group of metatherians )

** Eunectes murinus, the green anaconda, the largest species, is found east of the Andes in Colombia, Venezuela, the Guianas, Ecuador, Peru, Bolivia, Brazil and on the island of Trinidad.

** Eunectes notaeus, the yellow anaconda, a smaller species, is found in eastern Bolivia, southern Brazil, Paraguay and northeastern Argentina.

** Eunectes deschauenseei, the dark-spotted anaconda, is a rare species found in northeastern Brazil and coastal French Guiana.

** Eunectes beniensis, the Bolivian anaconda, the most recently defined species, is found in the Departments of Beni and Pando in Bolivia.

** Tarski's theorem: For every infinite set A, there is a bijective map between the sets A and A × A.

** The Cartesian product of any family of nonempty sets is nonempty.

** König's theorem: Colloquially, the sum of a sequence of cardinals is strictly less than the product of a sequence of larger cardinals.

** Hausdorff maximal principle: In any partially ordered set, every totally ordered subset is contained in a maximal totally ordered subset.

** Tychonoff's theorem stating that every product of compact topological spaces is compact.

** In the product topology, the closure of a product of subsets is equal to the product of the closures.

** If S is a set of sentences of first-order logic and B is a consistent subset of S, then B is included in a set that is maximal among consistent subsets of S. The special case where S is the set of all first-order sentences in a given signature is weaker, equivalent to the Boolean prime ideal theorem ; see the section " Weaker forms " below.

** Any union of countably many countable sets is itself countable.

** If the set A is infinite, then there exists an injection from the natural numbers N to A ( see Dedekind infinite ).

** Every infinite game in which is a Borel subset of Baire space is determined.

** The Vitali theorem on the existence of non-measurable sets which states that there is a subset of the real numbers that is not Lebesgue measurable.

** The Lebesgue measure of a countable disjoint union of measurable sets is equal to the sum of the measures of the individual sets.