group theoryn.

1888 G. G. Morrice tr. F. Klein Lect. on Ikosahedron i. i. 5 As soon as we enter upon the task of studying the rotations, &c...we are compelled to take into account the important and comprehensive theory which has been principally established by the pioneering works of Galois, and which we term the group-theory [Ger. die man als Gruppentheorie bezeichnet].

1922 Amer. Math. Monthly 29 323 This possible fact may serve to explain some of the extraordinary claims made for group theory.

1955 E. B. Wilson et al. Molecular Vibrations ii. 11 The applications of quantum mechanics and group theory to the problem of molecular vibrations.

1992 N.Y. Rev. Bks. 3 Dec. 35/1 By the time you get to the end you will have been introduced to nontrivial number theory, group theory..and the complex plane.

2006 A. Ash & R. Gross Fearless Symmetry ii. 19 Group theory gives us a mathematical way to deal with symmetry.

1897 Gunton's Mag. Apr. 271 An attempt to establish a scientific basis for the national or group theory of human progress, as opposed to the laissez-faire cosmopolitanism of the old school.

1916 C. C. J. Webb Group Theories Relig. & Individual. ix. 179 A ‘group theory’ of religion, which ascribes or tends to ascribe a genuinely objective reality only to what the individual experiences when uninfluenced by the ‘collective representations’ which he possesses as a member of a group—such a group theory is unable to account for individual religion.

1962 L. Binder Iran 152 Group theory, in brief, assumes that politics is the interaction of social units in greater or lesser conflict over the distribution of political values.

1989 S. J. Maswood Japan & Protection ii. 23 Evidence from group theory suggests that decision making in small groups is more effective than in larger groups which are often paralyzed by inaction.

2002 A. S. Bryk & B. Schneider Trust in Schools ii. 15 A different strand of social research, based on group theory, helped us to further expand our conceptualization of the microdynamics of trust.

1893 Amer. Jrnl. Math. 15 50 In the first paragraph the group-theoretic foundations are laid and a method is reached of classifying groups whose order is a power of a prime in distinct ‘types’.

1937 Osiris 3 261 The Greeks..never stated articulately the group-theoretic properties of space—although they did utilize its internal symmetry in proving theorems.

1994 C. F. Alford Group Psychol. & Polit. Theory v. 149 The group-theoretic approach recognizes that the suppression of detail reproduces the problem it is intended to solve, the suppression of the individual by the singular and oversimplified idea of the group.

2004 B. Bunch & A. Hellemans Hist. Sci. & Technol. 593/1 This scheme, now known by its group-theoretic designation as SU(3), is the beginning of the quark theory and a part of the standard model.

1900 Trans. Amer. Math. Soc. 1 339 From the group-theoretical point of view, certain special cases are of exceptional interest.

1972 M. Kline Math. Thought l. 1180 With this group-theoretic formulation of the homology groups of a complex, many older results can be reformulated in group language.

2006 F. Wilczek Fantastic Realities 96 One can see this by a group-theoretical argument: Quarks form triplet representations of color SU(3). A pair of quarks, in the antisymmetric color state, form an antitriplet.