in Set Theory & Algebra
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What is the number of generators in a group G, such that Ο(G) = 87?
in Set Theory & Algebra
738 views

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Not it's not :p
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@gauravkc, check this- https://gateoverflow.in/3780/gate2005-it-34?show=101261#a101261, wiki link explains this very well.

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Number of numbers which are less than 87 and not co-prime to 87 are:

1) all multiples of 3 under 87= 28

2) all multiples of 29 under 87 = 2

Since, 3 and 29 are the only 2 prime factors of 87

So the number of generators are: 86 - 30 = 56.
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