Direct Products of Groups (Abstract Algebra)

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The direct product is a way to combine two groups into a new, larger group. Just as you can factor integers into prime numbers, you can break apart some groups into a direct product of simpler groups.
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We recommend the following textbooks:
Dummit & Foote, Abstract Algebra 3rd Edition

Milne, Algebra Course Notes (available free online)

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Teaching​ ​Assistant:​ ​​ ​Liliana​ ​de​ ​Castro
Written​ ​&​ ​Directed​ ​by​ ​Michael​ ​Harrison
Produced​ ​by​ ​Kimberly​ ​Hatch​ ​Harrison

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(2, 2, 4) Btw. These are the best videos ever. As soon as I become a data scientist I won't forget who helped me!

LastvanLichtenGlorie
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This video is awesome!  Please do one on Sylow's theorems.

ninosawbrzostowiecki
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almustaphaumar
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I can't wait for my baby niece to grow up and ace all her stem courses because Socratica exists

coldblaze
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I binge watched 20 of her abstract algebra videos. It is just that good.

mprc
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Due to a change of course I'm trying to study Abstract Algebra without having done the pre-module Geometry and Groups. These videos are a godsend.

Oh and due to my strange course through university, I've already got a 1st in Vector Spaces, a pre-requisite of which is Abstract Algebra.

bencrossley
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hey, I loved these series of videos on Group theory as we were generally told that its one of the most complex subjects but you have put it up really nicely.

Fatimleo
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Amazing videos! I think I've already watched ~8 so far this morning, and I have no plans of stopping!

PunmasterSTP
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I had no idea what you were talking about but here's a thumbs up anyway.

thematt
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You are an angel on Earth. You have no idea how many lives you're changing!

parimuffins
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It would be lot useful if u even add the references at the end or beginning of the video, content is elegantly explained in such short amount of time, It would be lot useful if u can update videos on advance tops as well (ex:topology, complex anylisis, real anylisis, number theory etc) .any way thanks alot it really helped me a lot to find the missing dots of my understanding in abstract algebra .

saiganeshreddy
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Thank you for making this video brief . It helped me to learn the concept . ❤️. Take love from INDIA 🇮🇳

amitakar
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this was an interesting and very well organized math lesson. thank you for the encouragement.

rayrocher
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The rate at which videos are made here is direct product of subscribers, no. of viewers and Patreon supporters. Mathematical way!!!! Yeah!!! Loved the presentation...

sanjityadav
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Pleaseeee more abstract algebra videos!! There are not enough videos and you make the best videos everrr!!!❤ you explain everything so perfect, i love u ❤❤

francceD
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You should do a video on semi-direct products.

categorygrp
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Getting back to brass tacks. Awesome.

jpphoton
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I wish I had a teacher like you back 25 years ago when I was in my pre-teens and in love with mathematics. it could've changed my life.
bad teachers year after year had me lose interest

sanan
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Im study masters degree as Electrical Egeneer and I have a course "deep learning and groups(groups, representation on groups, equivarints, symmetries) you just saved mee

יעקבמישייב
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You are the best teacher of mathematical please make some videos for complex analysis

shine