Question

Let G be a group of order 1135. Can G have a subgroup of order 25? Justify your
answer​

Answer 1

Step-by-step explanation:

Let G be a group of order 1135. Can G have a subgroup of order 25? Justify your

answer

Answer 2

Answer:

If there is an element of order 35 then the group is cyclic, so there is some g with order 35. ... Only the identity has order 1, so there must be an element with order 5 or order 7. If there is no element with order 7, then every non-identity element has order 5. Therefore G is the union of n subgroups of order 5.

Step-by-step explanation:

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