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How to Visualize These 5 Fundamental Groups 

DiBeos
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If you want to know about Group Theory
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21 сен 2024

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Комментарии : 14   
@asmithgames5926
@asmithgames5926 День назад
I'm working on proving a polynomial-time algorithm I have for the Graph Isomorphism Problem. This is a famous Computer Science problem, but it relates to Group Theory quite a bit!
@dibeos
@dibeos День назад
@@asmithgames5926 that’s really cool! Can you explain the problem in more detail?
@Vaaaaadim
@Vaaaaadim 20 часов назад
How does your algorithm work?
@foobargorch
@foobargorch День назад
nice video, i'd be very interested to see your take on Cayley's theorem
@dibeos
@dibeos День назад
@foobargorch great, it’ll be a pleasure! 😎
@TepsiMorphic
@TepsiMorphic 22 часа назад
I thought you were going to talk about five different fundamental groups of different topological spaces lmao xD. Great video btw!
@victork8708
@victork8708 День назад
Cayley`s theorem sure does look like somthing i would look closer onto !
@dibeos
@dibeos День назад
@@victork8708 thanks for letting us know! We will definitely post a video about, since it interests you and other people who commented as well 😎
@SobTim-eu3xu
@SobTim-eu3xu День назад
Yay, another video!)
@duckymomo7935
@duckymomo7935 20 часов назад
is the orbit a conjugacy group?
@dibeos
@dibeos 18 часов назад
@@duckymomo7935 The orbit in group theory is the set of elements that can be reached from a given element under the group action. The orbit isn't always a conjugacy class. The conjugacy class involves elements related by conjugation in the group. The conjugacy class of an element g in a group G is the set of all elements in G that are conjugate to g. Two elements g and h in G are conjugate if there exists an element x in G such that h = xgx^{-1}. In some cases, such as certain symmetry groups, the orbit coincides with a conjugacy class, but they aren't the same by definition.
@cupatelj52
@cupatelj52 День назад
Video quality drops at this point: 1:38 and gets back to normal at 1:58.
@dibeos
@dibeos День назад
@@cupatelj52 hi! Thanks for letting us know, but are you sure about that? Cause Sofia and I just checked (in both of our devices) and it works fine…
@SlipperyTeeth
@SlipperyTeeth 22 часа назад
Looks fine to me. You probably have your video quality set to auto and your connection just slowed down for a moment.
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