A Cyclic Group of Permutations | Abstract Algebra Exercises

preview_player
Показать описание
We consider a simple function and show it is a permutation of real numbers, then go on to prove the set of all such functions forms a cyclic subgroup of the symmetric group on the reals. We will have to prove our function is injective and surjective to show that it is bijective, then we will prove the set of all such functions under composition is a subgroup of the symmetric group of reals, then we will prove it is cyclic by finding a generator of the subgroup. #abstractalgebra #grouptheory

◉Textbooks I Like◉

★DONATE★

Thanks to Petar, dric, Rolf Waefler, Robert Rennie, Barbara Sharrock, Joshua Gray, Karl Kristiansen, Katy, Mohamad Nossier, and Shadow Master for their generous support on Patreon!

Follow Wrath of Math on...

  1. Wrath of Math
  2. wrath of math
  3. math lessons
  4. math
  5. education
  6. math video
Рекомендации по теме
A Cyclic Group 0:15:08

A Cyclic Group of Permutations | Abstract Algebra Exercises

Cycle Notation of 0:12:37

Cycle Notation of Permutations - Abstract Algebra

Abstract Algebra. How 0:13:21

Abstract Algebra. How to multiply permutations in cycle notation

Permutation Groups and 0:18:24

Permutation Groups and Symmetric Groups | Abstract Algebra

Abstract Algebra 5.3: 0:07:38

Abstract Algebra 5.3: Cycle Notation

(Abstract Algebra 1) 0:17:32

(Abstract Algebra 1) Groups of Permutations

(Abstract Algebra 1) 0:09:01

(Abstract Algebra 1) Definition of a Cyclic Group

CYCLIC PERMUTATION 0:04:49

CYCLIC PERMUTATION

Lecture - Algebraic 1:32:45

Lecture - Algebraic Graph Theory by Professor Peter Cameron

Symmetric Groups (Abstract 0:05:30

Symmetric Groups (Abstract Algebra)

PERMUTATION AND CYCLIC 0:03:19

PERMUTATION AND CYCLIC GROUPS PROBLEMS||IN TELUGU

Permutation and cyclic 0:03:34

Permutation and cyclic groups || problems

Product of cycles 0:05:23

Product of cycles example 1

Multiply two permutations 0:04:42

Multiply two permutations in cycle representation without expanding

31. Cyclic decomposition 0:05:20

31. Cyclic decomposition of permutation definition and examples | group theory | AdnanAlig

Cyclic Groups, Generators, 0:10:38

Cyclic Groups, Generators, and Cyclic Subgroups | Abstract Algebra

Group Theory: Cyclic 0:13:06

Group Theory: Cyclic permutation in group theory with examples

In cycle notation, 0:07:21

In cycle notation, find the inverse of each permutation. Abstract Algebra

Abstract Algebra, Lec 0:27:50

Abstract Algebra, Lec 9B: Powers of Cyclic Group Generators, Subgroup Lattice, Permutations

Finding f'(inverse of 0:02:10

Finding f'(inverse of 'f')|| permutation and cyclic groups problems||

Groups of Permutations 0:11:07

Groups of Permutations

#16 order of 0:00:59

#16 order of cycle permutation group f=(1 2 3 4 ) ( 5 6 7 8 9 ) is | order of cycle of Sn

#26||Cyclic notation of 0:06:49

#26||Cyclic notation of a permutation||S3 Group||Group theory||Maths for graduates

Permutations: Writing a 0:06:37

Permutations: Writing a Permutation as a Product of Disjoint Cycles

Комментарии
Автор

For now the playlist will remain unlisted as I don't want to clutter my page with playlists that have very few videos. But it is my vision to not only have very thorough playlists for every math subject, but also full companion playlists of exercises. Appreciate your support in this burdensome task!

WrathofMath
Автор

Thanks, very easy to understand and helpful

antoniocortijo-rodgers
Автор

If we have t=2+3w(omega) as w^2=1 and we have mod 67 then what is t^2 ? As I have to show it is cyclic as it gives t^66 =(1, 0). Waiting for your response.

SummiyaMumtaz
join shbcf.ru