Group Theory Quizzes, Questions & Answers

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How Much Do You Know About Alvis-curtis Duality?

Most of the theories that we use today in mathematics are most of the time very old. It is as if all has already been invented or deciphered when it comes to math. Well, Alvis Curtis has proven us wrong because in the 1990s he...

Questions: 10 | Attempts: 122 | Last updated: Mar 19, 2023

Sample Question
What's duality?

It's a group of mathematical structures into other concepts.

It's a group of theorems into other concepts.

It's a group of operations into other concepts.

It's a group of concepts, theorems/mathematical structures into other concepts.

How Well Do You Know Haagerup Property?

Haagerup property is named after Uffe Haagerup and it can be considered a property of groups that strongly negates Kazhdan's property (T). The Haagerup property is common in a lot of mathematical fields. This includes...

Questions: 10 | Attempts: 131 | Last updated: Mar 22, 2023

Sample Question
What is the other name for Haagerup property?

Gromorov property

Kazhdan property

T-menability

Gromorov T-menability

How Much Do You Know About Restricted Representation

In mathematics, there's a thing called restricted representation. It is described as the construction in the representation of groups. In other words, these representations supposedly form a representation of a whole...

Questions: 10 | Attempts: 128 | Last updated: Mar 22, 2023

Sample Question
What's explicit symmetry breaking?

It's the breaking of a symmetry of a theory by terms in its defining equations of motion that do not respect the symmetry.

It's the breaking of a shape by terms in its defining equations of motion that do not respect the symmetry.

It's the breaking of a symmetry of a theory by terms in its defining equations of motion that do not respect the theory.

It's the breaking of a symmetry of a calculations by terms in its defining equations of motion that do not respect the symmetry.

What Do You Know About Admissible Representation?

The term ” Admissible representations” represents a branch of mathematical theory which is used to resolve reductive Lie groups and compact disconnected representation groups. How well do you know the terms and...

Questions: 10 | Attempts: 124 | Last updated: Mar 21, 2023

Sample Question
Admissible representation generally represents an organized form of representation used in which theory?

Representation theory of reductive Lie groups

Representation theory of algebraic groups

Representation theory of linear numbers

Representation theory of prime groups

Take Our Quiz About The Representation On Coordinate Rings

For those who love mathematics, representation on coordinate rings is defined as the representation of a group on coordinate rings of affine varieties. Now, the question is do you know all the symbols and terms involved with this...

Questions: 10 | Attempts: 119 | Last updated: Mar 20, 2023

Sample Question
What's an Affine algebraic variety?

It's the affine n-space K^n

It's the equivalent of K^n

It's simply the n-space

It's the zero-locus in the affine n-space K^n

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What Do You Know About The Root Datum?

What do you know about the root datum?

Considered and introduced by Michel Demazure in the 1970s, the root datum is a widely used approach in the group theory branch of mathematics. It is a speculation of a root system or framework that decides the gathering up to...

Questions: 10 | Attempts: 121 | Last updated: Mar 21, 2023

Sample Question
Which is an example of a reductive group?

Projective group

Special linear group

Abelian group

Compact group

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