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Meaning of "group theory" in the English dictionary

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DICTIONARY
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PRONUNCIATION OF GROUP THEORY

group theory  [ɡruːp ˈθiːərɪ] play
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GRAMMATICAL CATEGORY OF GROUP THEORY

noun
adjective
verb
adverb
pronoun
preposition
conjunction
determiner
exclamation
Group theory is a noun.
A noun is a type of word the meaning of which determines reality. Nouns provide the names for all things: people, objects, sensations, feelings, etc.

WHAT DOES GROUP THEORY MEAN IN ENGLISH?

Group theory

In mathematics and abstract algebra, group theory studies the algebraic structures known as groups. The concept of a group is central to abstract algebra: other well-known algebraic structures, such as rings, fields, and vector spaces can all be seen as groups endowed with additional operations and axioms. Groups recur throughout mathematics, and the methods of group theory have influenced many parts of algebra. Linear algebraic groups and Lie groups are two branches of group theory that have experienced advances and have become subject areas in their own right. Various physical systems, such as crystals and the hydrogen atom, can be modelled by symmetry groups. Thus group theory and the closely related representation theory have many important applications in physics, chemistry, and materials science. Group theory is also central to public key cryptography. One of the most important mathematical achievements of the 20th century was the collaborative effort, taking up more than 10,000 journal pages and mostly published between 1960 and 1980, that culminated in a complete classification of finite simple groups.

Definition of group theory in the English dictionary

The definition of group theory in the dictionary is the branch of algebra that deals with mathematical groups.

WORDS THAT RHYME WITH GROUP THEORY


anniversary
ˌænɪˈvɜːsərɪ
battery
ˈbætərɪ
blackberry
ˈblækbərɪ
category
ˈkætɪɡərɪ
celery
ˈsɛlərɪ
century
ˈsɛntʃərɪ
contemporary
kənˈtɛmprərɪ
delivery
dɪˈlɪvərɪ
diary
ˈdaɪərɪ
dictionary
ˈdɪkʃənərɪ
directory
dɪˈrɛktərɪ
discovery
dɪˈskʌvərɪ
elementary
ˌɛlɪˈmɛntərɪ
factory
ˈfæktərɪ
February
ˈfɛbrʊərɪ
fructuary
ˈfrʌktjuːərɪ
gallery
ˈɡælərɪ
grocery
ˈɡrəʊsərɪ
noctuary
ˈnɒktjuːərɪ
tawery
ˈtɔːərɪ

WORDS THAT BEGIN LIKE GROUP THEORY

group captain
group dynamics
group insurance
group marriage
Group of Eight
Group of Five
Group of Seven
Group of Seventy-Seven
Group of Ten
Group of Three
Group of Twenty Finance Ministers and Central Bank Governors
Group of Twenty-Four
group practice
group sex
group speed
group therapist
group therapy
group velocity
group work
groupable

WORDS THAT END LIKE GROUP THEORY

atomic theory
automata theory
big bang theory
big-bang theory
chaos theory
complexity theory
conspiracy theory
decision theory
game theory
gauge theory
information theory
kinetic theory
model theory
number theory
quantum theory
set theory
string theory
systems theory
the kinetic theory
theory
wave theory

Synonyms and antonyms of group theory in the English dictionary of synonyms

SYNONYMS

Translation of «group theory» into 25 languages

TRANSLATOR
online translator

TRANSLATION OF GROUP THEORY

Find out the translation of group theory to 25 languages with our English multilingual translator.
The translations of group theory from English to other languages presented in this section have been obtained through automatic statistical translation; where the essential translation unit is the word «group theory» in English.

Translator English - Chinese

群论
1,325 millions of speakers

Translator English - Spanish

la teoría de grupos
570 millions of speakers

English

group theory
510 millions of speakers

Translator English - Hindi

समूह सिद्धांत
380 millions of speakers
ar

Translator English - Arabic

نظرية المجموعات
280 millions of speakers

Translator English - Russian

теория групп
278 millions of speakers

Translator English - Portuguese

teoria dos grupos
270 millions of speakers

Translator English - Bengali

গ্রুপ তত্ত্ব
260 millions of speakers

Translator English - French

théorie des groupes
220 millions of speakers

Translator English - Malay

Teori kumpulan
190 millions of speakers

Translator English - German

Gruppentheorie
180 millions of speakers

Translator English - Japanese

群論
130 millions of speakers

Translator English - Korean

그룹 이론
85 millions of speakers

Translator English - Javanese

Teori kelompok
85 millions of speakers
vi

Translator English - Vietnamese

lý thuyết nhóm
80 millions of speakers

Translator English - Tamil

குழு கோட்பாடு
75 millions of speakers

Translator English - Marathi

गट सिद्धांत
75 millions of speakers

Translator English - Turkish

Grup teorisi
70 millions of speakers

Translator English - Italian

teoria dei gruppi
65 millions of speakers

Translator English - Polish

teoria grup
50 millions of speakers

Translator English - Ukrainian

теорія груп
40 millions of speakers

Translator English - Romanian

teoria grupurilor
30 millions of speakers
el

Translator English - Greek

ομάδα θεωρία
15 millions of speakers
af

Translator English - Afrikaans

groep teorie
14 millions of speakers
sv

Translator English - Swedish

gruppteori
10 millions of speakers
no

Translator English - Norwegian

gruppeteori
5 millions of speakers

Trends of use of group theory

TRENDS

TENDENCIES OF USE OF THE TERM «GROUP THEORY»

The term «group theory» is regularly used and occupies the 92.109 position in our list of most widely used terms in the English dictionary.
0
100%
FREQUENCY
Regularly used
57
/100
The map shown above gives the frequency of use of the term «group theory» in the different countries.
Principal search tendencies and common uses of group theory
List of principal searches undertaken by users to access our English online dictionary and most widely used expressions with the word «group theory».

FREQUENCY OF USE OF THE TERM «GROUP THEORY» OVER TIME

The graph expresses the annual evolution of the frequency of use of the word «group theory» during the past 500 years. Its implementation is based on analysing how often the term «group theory» appears in digitalised printed sources in English between the year 1500 and the present day.

Examples of use in the English literature, quotes and news about group theory

EXAMPLES

10 ENGLISH BOOKS RELATING TO «GROUP THEORY»

Discover the use of group theory in the following bibliographical selection. Books relating to group theory and brief extracts from same to provide context of its use in English literature.
1
Group Theory: Application to the Physics of Condensed Matter
This class-tested book has been pedagogically tailored over the authors’ 30 years as instructors.
M. S. Dresselhaus, Gene Dresselhaus, Ado Jorio, 2008
2
Visual Group Theory
A full-colour visual guide for students of group theory.
Nathan Carter, 2009
3
Group Theory and Physics
This book is an introduction to group theory and its application to physics.
S. Sternberg, 1995
4
Adventures in Group Theory: Rubik's Cube, Merlin's Machine, ...
Featuring strategies for solving the puzzles and computations illustrated using the SAGE open-source computer algebra system, the second edition of Adventures in Group Theory is perfect for mathematics enthusiasts and for use as a ...
David Joyner, 2008
5
A Course on Group Theory
Early chapters summarize presupposed facts, identify important themes, and establish the notation used throughout the book. Subsequent chapters explore the normal and arithmetical structures of groups as well as applications.
John S. Rose, 2013
6
Combinatorial Group Theory
From the reviews: "This book (...) defines the boundaries of the subject now called combinatorial group theory. (...)it is a considerable achievement to have concentrated a survey of the subject into 339 pages.
Roger C. Lyndon, Paul E. Schupp, 2001
7
Group Theory
Here is a clear, well-organized coverage of the most standard theorems, including isomorphism theorems, transformations and subgroups, direct sums, abelian groups, and more. This undergraduate-level text features more than 500 exercises.
W. R. Scott, William Raymond Scott, 1964
8
Group Theory: Birdtracks, Lie's, and Exceptional Groups
"In "Group Theory," we get a sense of the quest Cvitanovi? has been on, which makes the book much more fun to read than the average mathematics text. This book is intriguing, novel, and important.
Predrag Cvitanovic, 2008
9
An Introduction to Tensors and Group Theory for Physicists
This textbook offers an intuitive and rigorous approach to tensors and their role in theoretical physics and applied mathematics.
Nadir Jeevanjee, 2011
10
Topics in Geometric Group Theory
In this book, Pierre de la Harpe provides a concise and engaging introduction to geometric group theory, a new method for studying infinite groups via their intrinsic geometry that has played a major role in mathematics over the past two ...
Pierre de la Harpe, 2000

10 NEWS ITEMS WHICH INCLUDE THE TERM «GROUP THEORY»

Find out what the national and international press are talking about and how the term group theory is used in the context of the following news items.
1
Review: 'Genius at Play: The Curious Mind of John Horton Conway'
“Conway's been in the running for the million-dollar Nobel of mathematics, the Abel Prize – with his group theory work being the strongest point ... «Buffalo News, Jul 15»
2
Group theory for England's U21s
Group theory for England's U21s. Last Updated: June 17 2015, 16:39 BST. The European Under-21 Championships get under way in the Czech Republic this ... «Sportinglife.com, Jun 15»
3
NIU remembers Gian Sarup, Department of Sociology
... 1976), “Toward a Measure of National Integration for India” (Indian Journal of Psychology, 1975) and “A Reference Group Theory of Social ... «NIU Today, Jun 15»
4
John Nash: The tragic demise of a beautiful mind
Abel made other significant mathematical advances, in elliptic functions and group theory, but he was largely unrecognised during his lifetime. «Irish Times, May 15»
5
Mason teen vies for $75K in international science fair
Venkatarao said his ambitious project was inspired by comments made by judges at last year's state science fair in which he used group theory ... «Cincinnati.com, May 15»
6
Mathematician Alex Eskin, two alumni elected to National Academy …
He has made important contributions to geometric group theory, ergodic theory and number theory. His specialties include mathematical ... «UChicago News, May 15»
7
World-Renowned Algebra Expert to Present 2015 Maxson Lectures
Among his many deep results, Zelmanov has solved major problems in Lie algebra theory and group theory, including the restricted Burnside ... «Texas A&M University, May 15»
8
Making sense of mathematics
Many such theories have already been invented: group theory, vector spaces, mathematical analysis, algebraic number theory and so on. «OUPblog, Apr 15»
9
Mathematics, Live: A Conversation with Katie Steckles and Laura …
The fact that it's numbers is irrelevant to the group theory, the logic and inference. People associate it with maths even though it's not maths in ... «Scientific American, Apr 15»
10
American Academy of Arts and Sciences elects 12 members with …
... combinatorics, asymptotic group theory, and the many interactions among these fields, including problems of pure mathematics motivated by ... «UChicago News, Apr 15»

REFERENCE
« EDUCALINGO. Group theory [online]. Available <https://educalingo.com/en/dic-en/group-theory>. Apr 2024 ».
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