22. Subgroup in Group Theory | Examples

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Subgroup in Group Theory | Examples
The set Gl2(R) of non-singular matrices is group under multiplication
If G is abelian then (ab)^n=a^nb^n, for all a,b in G (Proof by mathematical induction)
Show that a group is abelian if and only if (ab)^2=a^2b^2 for all a,b in G
If G is a group such that x.x=e for all x∈G then G is an abelian group
Show that the set {1,2,4,5,7,8} is Group under multiplication modulo 9
If order of element x is odd then there exists element y such that y^2=x
Show that a group of even order has an element of order 2
Orders of a and b^-1ab are equal (proof)
Orders of a and a^-1 are equal | Orders of element and its inverse are same
In this video you will learn Order of a group | Order of an element | Fully Concept Explained | Must watch
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Your way of explaining is very good keep it up

fashionintrend
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Best explanation in simple way. 🎩 hats off to u sir

FMRulesofficial
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Jazaki Allahu Khairan Kaseera sir g your method of teaching was very good 💞

fatoo
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Outstanding Ma Sha Allah
Stay blessed sir

hinaakbar
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Thnkuu sir ❤️my doubt has been cleard by you 🥰❤️

zarogaming
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Sir mathmatical method book k 7 chapter K lecture upload kar dain kindly

m.sufyan
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Examples of trivial and non trivial py lec upload kr dyn

muqaddasrazzaq
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if u dont have full knowledge about any theory or any topic better u don't teach it . in the starting of video only you said the operation can be anything +, _* or \, but as a set to become a group the operations can be only addition or multiplication.

kumarpiyush
welcome to shbcf.ru