Total number of subgroups of a non cyclic subgroup
0
$begingroup$
I m working on total number of subgroups of any group. I m quite clear about cyclic groups but i m facing difficulties in non cyclic groups. Euler formula is useful for cyclic groups i m worried about non cyclic. My question is.. How can i calculate total number of subgroups of a non cyclic group?
abstract-algebra
asked Dec 3 '18 at 17:57
HinaHina
12
$endgroup$
add a comment |
0
$begingroup$
I m working on total number of subgroups of any group. I m quite clear about cyclic groups but i m facing difficulties in non cyclic groups. Euler formula is useful for cyclic groups i m worried about non cyclic. My question is.. How can i calculate total number of subgroups of a non cyclic group?
abstract-algebra
asked Dec 3 '18 at 17:57
HinaHina
12
$endgroup$
$begingroup$
Hi and welcome to the Math.SE. It seems you forgot to state a question.
$endgroup$
– Daniele Tampieri
Dec 3 '18 at 18:05
1
$begingroup$
Oopss i forgot. Thanks
$endgroup$
– Hina
Dec 3 '18 at 20:30
$begingroup$
It is really quite difficult to classify the subgroups of a group in general; the cyclic case is much easier than the general case. Already the case of an arbitrary finite abelian group is tricky. If someone asks you this question you'll be taking heavy advantage of specific facts about the group involved.
$endgroup$
– Qiaochu Yuan
Dec 3 '18 at 23:20
add a comment |
0
0
0
0
$begingroup$
I m working on total number of subgroups of any group. I m quite clear about cyclic groups but i m facing difficulties in non cyclic groups. Euler formula is useful for cyclic groups i m worried about non cyclic. My question is.. How can i calculate total number of subgroups of a non cyclic group?
abstract-algebra
asked Dec 3 '18 at 17:57
HinaHina
12
$endgroup$
I m working on total number of subgroups of any group. I m quite clear about cyclic groups but i m facing difficulties in non cyclic groups. Euler formula is useful for cyclic groups i m worried about non cyclic. My question is.. How can i calculate total number of subgroups of a non cyclic group?
abstract-algebra
abstract-algebra
asked Dec 3 '18 at 17:57
HinaHina
12
asked Dec 3 '18 at 17:57
HinaHina
12
edited Dec 3 '18 at 20:30
Hina
asked Dec 3 '18 at 17:57
HinaHina
12
asked Dec 3 '18 at 17:57
HinaHina
12
asked Dec 3 '18 at 17:57
HinaHina
12
12
$begingroup$
Hi and welcome to the Math.SE. It seems you forgot to state a question.
$endgroup$
– Daniele Tampieri
Dec 3 '18 at 18:05
1
$begingroup$
Oopss i forgot. Thanks
$endgroup$
– Hina
Dec 3 '18 at 20:30
$begingroup$
It is really quite difficult to classify the subgroups of a group in general; the cyclic case is much easier than the general case. Already the case of an arbitrary finite abelian group is tricky. If someone asks you this question you'll be taking heavy advantage of specific facts about the group involved.
$endgroup$
– Qiaochu Yuan
Dec 3 '18 at 23:20
add a comment |
$begingroup$
Hi and welcome to the Math.SE. It seems you forgot to state a question.
$endgroup$
– Daniele Tampieri
Dec 3 '18 at 18:05
1
$begingroup$
Oopss i forgot. Thanks
$endgroup$
– Hina
Dec 3 '18 at 20:30
$begingroup$
It is really quite difficult to classify the subgroups of a group in general; the cyclic case is much easier than the general case. Already the case of an arbitrary finite abelian group is tricky. If someone asks you this question you'll be taking heavy advantage of specific facts about the group involved.
$endgroup$
– Qiaochu Yuan
Dec 3 '18 at 23:20
$begingroup$
Hi and welcome to the Math.SE. It seems you forgot to state a question.
$endgroup$
– Daniele Tampieri
Dec 3 '18 at 18:05
$begingroup$
Hi and welcome to the Math.SE. It seems you forgot to state a question.
$endgroup$
– Daniele Tampieri
Dec 3 '18 at 18:05
1
1
$begingroup$
Oopss i forgot. Thanks
$endgroup$
– Hina
Dec 3 '18 at 20:30
$begingroup$
Oopss i forgot. Thanks
$endgroup$
– Hina
Dec 3 '18 at 20:30
$begingroup$
It is really quite difficult to classify the subgroups of a group in general; the cyclic case is much easier than the general case. Already the case of an arbitrary finite abelian group is tricky. If someone asks you this question you'll be taking heavy advantage of specific facts about the group involved.
$endgroup$
– Qiaochu Yuan
Dec 3 '18 at 23:20
$begingroup$
It is really quite difficult to classify the subgroups of a group in general; the cyclic case is much easier than the general case. Already the case of an arbitrary finite abelian group is tricky. If someone asks you this question you'll be taking heavy advantage of specific facts about the group involved.
$endgroup$
– Qiaochu Yuan
Dec 3 '18 at 23:20
add a comment |
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$begingroup$
Hi and welcome to the Math.SE. It seems you forgot to state a question.
$endgroup$
– Daniele Tampieri
Dec 3 '18 at 18:05
1
$begingroup$
Oopss i forgot. Thanks
$endgroup$
– Hina
Dec 3 '18 at 20:30
$begingroup$
It is really quite difficult to classify the subgroups of a group in general; the cyclic case is much easier than the general case. Already the case of an arbitrary finite abelian group is tricky. If someone asks you this question you'll be taking heavy advantage of specific facts about the group involved.
$endgroup$
– Qiaochu Yuan
Dec 3 '18 at 23:20