Dictionary

group theory en · NOUN

Pronunciation

• (Southern-England) audio

Meanings

1. (uncountable, usually) The mathematical theory of groups.
   • Planar cis and/or trans internal rotation tunnelling have been discussed in terms of group theory, leading to theoretical spectra which have been compared to experimental work. 1995, Jean Brocas, “Chapter 4: The Use of Group Theory in the Study of Non-Rigid Molecules”, in Danail Bonchev, D. H. Rouvray, editors, Chemical Group Theory: Techniques and Applications, Gordon and Breach, page 133:
   • THE feeling seems to be developing among physicists that group theory can be used as and when required, as many other techniques already are, without its being necessary for everyone to study all the whys and wherefores of the mathematical details involved. 1968, Arthur P. Cracknell, editor, Applied Group Theory: Selected Readings in Physics, Pergamon Press, page ix:
2. (uncountable, usually) Used other than figuratively or idiomatically: see group, theory; a theory about (particular kinds of) groups.
   • 2012, Stéphanie Delaune, Steve Kremer, Daniel Pasaila, Security Protocols, Constraint Systems, and Group Theories, Bernhard Gramlich, Dale Miller, Ulrike Sattler (editors), Automated Reasoning: 6th International Joint Conference, Springer, LNAI 7364, page 165, In particular we study the case where cryptographic primitives are modelled using a group theory. Group theories are a special case of monoidal theories which have been extensively studied by F. Baader and W. Nutt [20,6] who have provided a complete survey of unification in these theories. Group theories include theories for exclusive or and Abelian groups.
   • 2007, Hedley G. Dimock, Rachel R. Kass, How to Observe Your Group, Captus Press, 4th Edition, page 3, After you have read over the seven group theories you'll be clearer about what makes the most sense to you for the groups with which you want to use your observation skills.

Forms

Relateds

group theoretical

Translations (22)

ko 군론 (mathematical theory of groups) · es teoría de grupos (mathematical theory of groups) · hu csoportelmélet (mathematical theory of groups) · cmn 群論 /群论 (mathematical theory of groups) · is grúpufræði (mathematical theory of groups) · it teoria dei grupp (mathematical theory of groups) · sv gruppteori (mathematical theory of groups) · et rühmateooria (mathematical theory of groups) · ms teori kumpulan (mathematical theory of groups) · fi ryhmäteoria (mathematical theory of groups) · pl teoria grup (mathematical theory of groups) · de Gruppentheorie (mathematical theory of groups) · kk топтар теориясы (mathematical theory of groups) · ta குலக் கோட்பாடு (mathematical theory of groups) · ja 群論 (mathematical theory of groups) · pt teoria dos grupos (mathematical theory of groups) · vi lý thuyết nhóm (mathematical theory of groups) · hi समूह सिद्धांत (mathematical theory of groups) · la theoria catervarum (mathematical theory of groups) · fr théorie des groupes (mathematical theory of groups) · sh teorija grupa (mathematical theory of groups) · th ทฤษฎีกรุป (mathematical theory of groups)