1. ## Distinct Subgroups

I am a little confused about distinct subgroups of a group.

For example ({1,2,4,8,9,13,15,16},x17)

has the following cyclic groups

<1> = {1}
<2> = {1,2,4,8,9,13,15,16}
<4> = {1,4,13,16}
<8> = {1,2,4,8,9,13,15,16}
<9> = {1,2,4,8,9,13,15,16}
<13> = {1,4,13,16}
<15> = {1,2,4,8,9,13,15,16}
<16> = {1,16}

but what are the distinct subgroups.

Can anyone help?

2. Originally Posted by Arron
I am a little confused about distinct subgroups of a group.

For example ({1,2,4,8,9,13,15,16},x17)

I'm afraid you'll have to explain yourself since the above makes no sense.

Tonio

has the following cyclic groups

<1> = {1}
<2> = {1,2,4,8,9,13,15,16}
<4> = {1,4,13,16}
<8> = {1,2,4,8,9,13,15,16}
<9> = {1,2,4,8,9,13,15,16}
<13> = {1,4,13,16}
<15> = {1,2,4,8,9,13,15,16}
<16> = {1,16}

but what are the distinct subgroups.

Can anyone help?
.

3. I am talking about the group ({1,2,4,8,9,13,15,16},X 17)

I'm not sure about its subgroups?

4. Originally Posted by Arron
I am talking about the group ({1,2,4,8,9,13,15,16},X 17)

I'm not sure about its subgroups?

Once again, what you call "group" has no meaning at all for anyone not knowing your notation, and that is NOT a

standard notation, so explain what group is that.

Tonio

5. Originally Posted by Arron
I am a little confused about distinct subgroups of a group.

For example ({1,2,4,8,9,13,15,16},x17)
I assume you mean that these numbers form a group with the operation being multiplication, modulo 17.

has the following cyclic groups

<1> = {1}
<2> = {1,2,4,8,9,13,15,16}
<4> = {1,4,13,16}
<8> = {1,2,4,8,9,13,15,16}
<9> = {1,2,4,8,9,13,15,16}
<13> = {1,4,13,16}
<15> = {1,2,4,8,9,13,15,16}
<16> = {1,16}

but what are the distinct subgroups.

Can anyone help?
"Distinct" means just that- that the subgroups are "distinct"- different. Of the subgroups you list
<2>, < 8>, < 9>, and <15> all equal {1,2,4,8,9,13,15,16}
They are NOT "distinct".

Also, <4> and <13> both equal {1, 4, 13, 16} so are not distnct.

counting <1> and <16>, there are 4 "distinct" subgroups- that is, four different subgroups.

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# find the distinct subgroups in discrete

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