Episode #110 - Groups... Theoretically w/ Dr Zack Wolske

1

Introduction

00:00 • 1min

2

The Math and Physics Podcast Episode 10 110

01:30 • 3min

3

How to Explain Group Theory to Someone Who Doesn't Know What Group Theory Is

04:18 • 3min

4

How to Multiply Real Numbers With Multiplication

07:15 • 2min

5

Is This a Group or a Set?

09:22 • 4min

6

What Are You Really Researching?

13:27 • 2min

7

Are We Just Trying to Understand the Major Ideas of Groups?

15:44 • 4min

8

The Study of Groups

19:45 • 2min

9

Sudoku Sudoku Rules

22:10 • 2min

10

Is This a Cyclic Group?

24:15 • 2min

11

You're Not Doing Cyclic Anymore.

26:31 • 2min

12

Is Associativity a Problem?

28:27 • 2min

13

Is It Invertible?

30:13 • 4min

14

The Problem of Group Isomorphism

33:49 • 4min

15

Is Rank Nullity for Groups?

38:02 • 4min

16

Rank or to Have a Kernel

41:45 • 1min

17

Is Su2 Squiggly Line Equals Z2 Equals Lee Algebra?

43:08 • 5min

18

How to Make a New Group

47:52 • 2min

19

Is There Communivity?

50:18 • 3min

20

How Many Groups Are There With Two to the 10?

52:59 • 4min

21

Is There a Simple Reason Why Prime Numbers Only Have One Group?

56:54 • 2min

22

Is There Really a Pattern for the Prime?

59:08 • 3min

23

Number Theory - Factors of Two to the End

01:02:33 • 2min

24

Is There Something Special With Two to the Ten?

01:04:19 • 1min

25

Counting Triangles in a Graph

01:05:38 • 2min

26

How Many for a Given Number of Points?

01:07:17 • 4min

27

How to Rotate a Cube

01:11:25 • 1min

28

Is There a Set Operation?

01:12:47 • 3min

29

The Goals Are Goals in Math

01:16:17 • 2min

30

What Is Gala Was Method?

01:17:59 • 2min

31

The Roots of the Polynomial Are the Elements of the Group

01:19:42 • 3min

32

Is That a Polynomial?

01:22:42 • 2min

33

What Are the Common Examples of Polynomials?

01:24:19 • 3min

34

The Galois Group of a Polynomial

01:27:05 • 3min

35

Group Theory Is Just a Theorem

01:30:25 • 3min

36

Group Theory and Algebra Is a Common Language

01:33:20 • 5min