Lec - 42 Counting the Numbers of Elements of Cartesian Product of Groups | IIT JAM | CSIR UGC NET

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In this lecture, we will learn about how to count the numbers of elements of the Cartesian product of cyclic groups.

#countingnumberingroup
#countingingroup
#directproductofgroups
#cartesianproductofgroups
#grouptheory
#abstractalgebra
  1. Mathematical Science
  2. count number of elements of cartesian product
  3. counting number in cartesian product of groups
  4. cartesian product of groups counting
  5. counting number of elements of direct product
  6. order of elements in cartesian product
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Комментарии
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Thank you sir for your mindblowing videos helping me a lot🙏🏼

archanakumarimeena
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thank you so much sir, ur explanation is easy and awasome.

motivationtwopointzero
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Sir on. Q3 for order 10 LCM of 2, 10= 10 we're getting

rupalijaipuria
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Sir, Generally the no of elements of oder d in zm+zn is dphi(d) +(d-phi(d)) phi(d). When d can divides both of m and n. So we may apply for cartetian product for finding no of elements.

manoranjankar
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Sir, please explain determine the order ZxZ/ <(2, 2)> . Is the group is cyclic?

priyak
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sir yeh ji ap ny Last question ma order 10 k elements ka Combination likh rahy h waha ap nu Lcm{1, 10} lia h but Lcm{10, 1} ni lia agr yeh commutative h tu phr jb order 5 k combination likha h waha Lcm{1, 5} and Lcm{5, 1} dono ..sp please can u help me ?

bilalrandhawa
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6:09 sir isme hum no.of elements ke liye dono ko product kyo Kar ke likh the h, ye nhi samajh aaya

archanakumarimeena
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sir please name the abstract algebra book

waqasahmadkhan
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Lecture is very nice but it is not clear view of see

latharaj