if g is a group that has both a subgroup of index 4 and an element g of order 7 prove that 28 di

Name: if g is a group that has both a subgroup of index 4 and an element g of order 7 prove that 28 divides g 05395
Uploaded: 2023-03-23T05:57:32-08:00
Duration: 3 min 36 s
Channel: Sri K
Description: if g is a group that has both a subgroup of index 4 and an element g of order 7 prove that 28 divides g 05395

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Sri K · Accepted Answer

Step 1: Since G has a subgroup of index 4, by Lagrange&#x27;s Theorem, the order of G must be a multi

Question

If G is a group that has both a subgroup of index 4 and an element g of order 7, prove that 28 divides |G|.

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