Order 2 Elements in Finite Group

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Abstract Algebra: Let G be a finite group. (1) If |G| is even, show that G has an odd number of elements of order 2. (2) If G is abelian, we compute the sum of the elements of the group (where group multiplication is written as addition).
  1. MathDoctorBob
  2. Mathematics
  3. abstract
  4. algebra
  5. group
  6. theory
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Комментарии
Автор

@candamohcine You're welcome! As you can probably tell, I like group theory and matrices. - Bob

MathDoctorBob
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I am reminded of how 18.100 made my head hurt in the late 1970's... but not as much as 18.701. These videos are great. Keep up the good work!

stephenj.bridges
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we already have exercise from school, now youtube has exercise for us too

lemyul
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If it's not numbered, it was probably filmed long before the numbered vids. Probably requested by someone.

MathDoctorBob
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hello and thanks so much for your videos, i have a question : why do we know that there only those elemets in the group ? why for example we don't have elemets of order 3, in other words why after eliminating e and invese pairs we are left exactly with elements of order 2

amine
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I think these lecture may not be in this position..as this uses the concepts which may be covered in subsequent lecture..

SPDE