In mathematics, a double affine braid group is a group containing the braid group of an affine Weyl group.
 Their group rings have quotients called double affine Hecke algebras in the same way that the group rings of affine braid groups have quotients that are affine Hecke algebras.
Archosauromorpha (Greek for "ruling lizard forms") is an infraclass of diapsid reptiles that first appeared during the middle Permian and became more common during the Triassic.
 It was defined by Jacques Gauthier, Arnold G. Kluge and Timothy Rowe (1988) as the group containing "archosaurs [i.e. Crocodylia, dinosaurs, birds, and several extinct orders] and all other saurians that are closer to archosaurs (s.s.) than they are to lepidosaurs (s.s.)" [i.e. tuataras, lizards, and snakes].
 In a later publication, Michel Laurin (1991) defined Archosauromorpha as the clade containing the most recent common ancestor of "Prolacerta", "Trilophosaurus", "Hyperodapedon" and archosaurs and all its descendants; David Dilkes (1998) formulated a more inclusive definition of Archosauromorpha, defining it as the clade containing "Protorosaurus" and all other saurians that are more closely related to "Protorosaurus" than to Lepidosauria.
The Tilapiini are a tribe within the family Cichlidae commonly known as tilapiine cichlids.
 Most of the taxa herein are called "tilapias", a diverse and economically important group containing the genera "Oreochromis", "Sarotherodon", and "Tilapia".
 A number of smaller genera, such as "Alcolapia", "Danakilia", "Iranocichla", and "Steatocranus" are also placed herein.
 They are now placed in the subfamily Pseudocrenilabrinae of African and Middle Eastern cichlids; formerly, these were often regarded as a distinct subfamily Tilapiinae.
Saurolophinae is a subfamily of hadrosaurid dinosaurs.
 It has since the mid-20th century generally been called the Hadrosaurinae, a group of largely non-crested hadrosaurs related to the crested sub-family Lambeosaurinae.
 However, the name Hadrosaurinae is based on the genus "Hadrosaurus" which was found in more recent studies to be more primitive than either lambeosaurines or other traditional "hadrosaurines", like "Edmontosaurus" and "Saurolophus".
 As a result of this, the name Hadrosaurinae was dropped or restricted to "Hadrosaurus" alone, and the subfamily comprising the traditional "hadrosaurines" was renamed the Saurolophinae.
 Recent phylogenetic work by Hai Xing indicates that "Hadrosaurus" is placed within the monophyletic group containing all non-lambeosaurine hadrosaurids.
 Therefore, the traditional Hadrosaurinae should be treated as before: Hadrosauridae is divided into two clades: Hadrosaurinae and Lambeosaurinae.
In mathematics, the Grothendieck group construction in abstract algebra constructs an abelian group from a commutative monoid "M" in the most universal way in the sense that any abelian group containing a homomorphic image of "M" will also contain a homomorphic image of the Grothendieck group of "M".
 The Grothendieck group construction takes its name from the more general construction in category theory, introduced by Alexander Grothendieck in his fundamental work of the mid-1950s that resulted in the development of K-theory, which led to his proof of the Grothendieck-Riemann-Roch theorem.
 This article treats both constructions.
In 3D computer graphics, a smoothing group is a group of polygons in a polygon mesh which should appear to form a smooth surface.
 Smoothing groups are useful for describing shapes where some polygons are connected smoothly to their neighbors, and some are not.
 For example, in a mesh representing a cylinder, all of the polygons are smoothly connected except along the edges of the end caps.
 One could make a smoothing group containing all of the polygons in one end cap, another containing the polygons in the other end cap, and a last group containing the polygons in the tube shape between the end caps.
Chou Tzu-yu (born June 14, 1999), known as Tzuyu, is a Taiwanese singer based in South Korea and a member of the K-pop girl group Twice, under JYP Entertainment.
Twice (; Japanese: トゥワイス) is a South Korean girl group formed by JYP Entertainment through the 2015 reality show "Sixteen".
 The group is composed of nine members: Nayeon, Jeongyeon, Momo, Sana, Jihyo, Mina, Dahyun, Chaeyoung, and Tzuyu.
 The group debuted on October 20, 2015 with the extended play (EP) "The Story Begins".
In geometry, a two-dimensional point group or rosette group is a group of geometric symmetries (isometries) that keep at least one point fixed in a plane.
 Every such group is a subgroup of the orthogonal group O(2), including O(2) itself.
 Its elements are rotations and reflections, and every such group containing only rotations is a subgroup of the special orthogonal group SO(2), including SO(2) itself.
 That group is isomorphic to R/Z and the first unitary group, U(1), a group also known as the circle group.
Palaemonoidea is a large superfamily of shrimp, containing nearly 1,000 species.
 The position of the family Typhlocarididae is unclear, although the monophyly of a group containing the remaining seven families is well supported.

Question: What is the genre of music that the nine member group containing Nayeon, Jeongyeon, Momo, Sana, Jihyo, Mina, Dahyun, Chaeyoung, and Tzuyu called?
Answer: K-pop