Group Theory | Normal Subgroup in One Shot by GP Sir
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- เผยแพร่เมื่อ 2 ต.ค. 2024
- Group Theory | Normal Subgroup in One Shot by GP Sir
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Z1, Z2, Z3 can never be subgroup of Z6.... Yet Z6 has subgroups isomorphic to Z1, Z2, Z3
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Sir, Question 8 mai, option (a) will be correct because 5!/ 5
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In Q 1 (e) is improper subgroup of Q8 so also this is not cyclic na so here answer is 2 ryt?????? Plz reply anyone
{e} is cyclic (trivial case)
Although it is normal, but it is cyclic.
That's why the answer is 01
@@mathematics9334 plz explain breifly..
@@abcdefghi7256 okay
So ques 01 was:
"Number of normal and non-cyclic Subgroups of Q8 ??"
Recall that:
All Subgroups of Q8 are normal
But,
all the proper subgroups (subgroups other than {e} and Q8) of Q8 are cyclic.
Also, {e} is cyclic.
So, Q8 is the only normal and non-cyclic subgroup of Q8.
@@mathematics9334 why (e) is cyclic ? It is improper subgroup s it is not cyclic na
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