Group Theory|Lecture 30|Group of units|U(n) abelian group with multiplication modulo n|Theta Classes

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  • Опубліковано 11 жов 2024
  • In this lecture we are going to introduce a special group known as group of units represented as U(n). As we know that set of residue classes modulo n is monoid with respect to multiplication modulo n as existence of inverse property fails. So, in order to form a group we are going to collect only those residue classes which have multiplicative inverse and these residue classes are called units.
    Set of units forms an abelian group with respect to multiplication modulo n.
    But before that we will first learn to form set of units and with the help of examples we will understand this.
    In case if any student has any doubt regarding this lecture do mention it in comment section.
    Keep connected with Theta Classes to study various topics of higher mathematics.

КОМЕНТАРІ • 23

  • @user-24.h
    @user-24.h 3 місяці тому +1

    Very good teaching sir thank u very much....💐

  • @Sidhu5911-w
    @Sidhu5911-w 6 місяців тому +3

    Pls complete the whole course of abstract algebra by uploading daily videos

  • @Sidhu5911-w
    @Sidhu5911-w 6 місяців тому +1

    Excellent teaching sir❤❤

  • @hariprateeksaxena3512
    @hariprateeksaxena3512 2 місяці тому +1

    Sir one linear imp points related to group theory bhi provide kra dijiye ( compatative aspect se )

    • @thetaclasses
      @thetaclasses  Місяць тому

      Yes I will summarise all the important points in one video

  • @payalswaroop2004
    @payalswaroop2004 Місяць тому

    Thank you sir ji❤😊

  • @nm2203
    @nm2203 20 днів тому

    aap jaise teacher hmare clg me kyu nhi h

  • @harry-ho9ti
    @harry-ho9ti Рік тому

    Aur kitna lecture lagega sir group theory khatam hone pe. Kab tensor analysis start karenge sir kindly mention.

    • @thetaclasses
      @thetaclasses  Рік тому

      I need time as multiple things going around me but I have in my mind to start tensor

  • @robinm8455
    @robinm8455 Рік тому +1

    Sir per day 1 video please 🥺🥺

    • @thetaclasses
      @thetaclasses  Рік тому

      I am understanding your problem whenever I get time I will make lecture and upload on the same day

  • @enigmatiscales_
    @enigmatiscales_ Рік тому

    It's 4 divided by 2
    The and should be 1/2

    • @thetaclasses
      @thetaclasses  Рік тому

      Remainder will be between 0 and 3 when divided by 4

  • @IbrahimIbrahim-vn3fi
    @IbrahimIbrahim-vn3fi Рік тому

    Sir linear algebra kub pray gy

    • @thetaclasses
      @thetaclasses  Рік тому

      I will start after group

    • @IbrahimIbrahim-vn3fi
      @IbrahimIbrahim-vn3fi Рік тому

      @@thetaclasses shukria sir sir g linear algebra details aur theorems all krany Hain

  • @mahimapandey3680
    @mahimapandey3680 Рік тому

    Sir real analysis kb krenge app

  • @sougatadas8883
    @sougatadas8883 8 місяців тому

    Thank you
    Watch at 24th jan 2024