Order of Elements in a Group | Abstract Algebra
Explore the concept of the order of elements within a group in abstract algebra. Join Wrath of Math for full access to all videos and lecture notes at the premium tier.

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29.0K views โข Apr 2, 2023

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Abstract Algebra course: https://www.youtube.com/playlist?list=PLztBpqftvzxVvdVmBMSM4PVeOsE5w1NnN
Abstract Algebra exercises: https://www.youtube.com/playlist?list=PLztBpqftvzxVQNtNnXeHB_1yquKUY98Xz
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We introduce the order of group elements in this Abstract Algebra lessons. We'll see the definition of the order of an element in a group, several examples of finding the order of an element in a group, and we will introduce two basic but important results concerning distinct powers of elements with finite order and elements with infinite order. #abstractalgebra #grouptheory
Permutation Groups: https://youtu.be/bdORHGZJA-g
Finding the Order of Group Elements: https://youtu.be/eUG434XwIE4
Finite Powers of an Element are Distinct: https://youtu.be/ErhT16Ja-RE
Infinite Order Elements have Distinct Powers: https://youtu.be/bdORHGZJA-g
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https://www.youtube.com/channel/UCyEKvaxi8mt9FMc62MHcliw/join
๐ Check out my math fashion brand! https://mathshion.com/
Abstract Algebra course: https://www.youtube.com/playlist?list=PLztBpqftvzxVvdVmBMSM4PVeOsE5w1NnN
Abstract Algebra exercises: https://www.youtube.com/playlist?list=PLztBpqftvzxVQNtNnXeHB_1yquKUY98Xz
Get the textbook! https://amzn.to/45IvVgH
Business Inquiries: wrathofmathlessons@gmail.com
We introduce the order of group elements in this Abstract Algebra lessons. We'll see the definition of the order of an element in a group, several examples of finding the order of an element in a group, and we will introduce two basic but important results concerning distinct powers of elements with finite order and elements with infinite order. #abstractalgebra #grouptheory
Permutation Groups: https://youtu.be/bdORHGZJA-g
Finding the Order of Group Elements: https://youtu.be/eUG434XwIE4
Finite Powers of an Element are Distinct: https://youtu.be/ErhT16Ja-RE
Infinite Order Elements have Distinct Powers: https://youtu.be/bdORHGZJA-g
โ DONATEโ
โ Support Wrath of Math on Patreon for early access to new videos and other exclusive benefits: https://www.patreon.com/join/wrathofmathlessons
โ Donate on PayPal: https://www.paypal.me/wrathofmath
Follow Wrath of Math on...
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Views
29.0K
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414
Duration
9:21
Published
Apr 2, 2023
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