Mathematics, Group Theory
up vote
1
down vote
favorite
Among all groups of same order,the abelian group with elementary abelian Sylow subgroups, has the highest number of maximal normal subgroups. I prove this for Solvable part using Correspondence Theorem. How can it be proved for general case ?
group-theory
edited Nov 21 at 19:43
Bernard
117k637109
asked Nov 21 at 19:40
ABHIJIT BHATTACHARJEE
63
add a comment |
up vote
1
down vote
favorite
Among all groups of same order,the abelian group with elementary abelian Sylow subgroups, has the highest number of maximal normal subgroups. I prove this for Solvable part using Correspondence Theorem. How can it be proved for general case ?
group-theory
edited Nov 21 at 19:43
Bernard
117k637109
asked Nov 21 at 19:40
ABHIJIT BHATTACHARJEE
63
add a comment |
up vote
1
down vote
favorite
up vote
1
down vote
favorite
Among all groups of same order,the abelian group with elementary abelian Sylow subgroups, has the highest number of maximal normal subgroups. I prove this for Solvable part using Correspondence Theorem. How can it be proved for general case ?
group-theory
edited Nov 21 at 19:43
Bernard
117k637109
asked Nov 21 at 19:40
ABHIJIT BHATTACHARJEE
63
Among all groups of same order,the abelian group with elementary abelian Sylow subgroups, has the highest number of maximal normal subgroups. I prove this for Solvable part using Correspondence Theorem. How can it be proved for general case ?
group-theory
group-theory
edited Nov 21 at 19:43
Bernard
117k637109
asked Nov 21 at 19:40
ABHIJIT BHATTACHARJEE
63
edited Nov 21 at 19:43
Bernard
117k637109
asked Nov 21 at 19:40
ABHIJIT BHATTACHARJEE
63
edited Nov 21 at 19:43
Bernard
117k637109
edited Nov 21 at 19:43
Bernard
117k637109
edited Nov 21 at 19:43
Bernard
117k637109
117k637109
asked Nov 21 at 19:40
ABHIJIT BHATTACHARJEE
63
asked Nov 21 at 19:40
ABHIJIT BHATTACHARJEE
63
asked Nov 21 at 19:40
ABHIJIT BHATTACHARJEE
63
63
add a comment |
add a comment |
active
oldest
votes
active
oldest
votes
active
oldest
votes
active
oldest
votes
active
oldest
votes
Thanks for contributing an answer to Mathematics Stack Exchange!
- Please be sure to answer the question. Provide details and share your research!
But avoid …
- Asking for help, clarification, or responding to other answers.
- Making statements based on opinion; back them up with references or personal experience.
Use MathJax to format equations. MathJax reference.
To learn more, see our tips on writing great answers.
Some of your past answers have not been well-received, and you're in danger of being blocked from answering.
Please pay close attention to the following guidance:
- Please be sure to answer the question. Provide details and share your research!
But avoid …
- Asking for help, clarification, or responding to other answers.
- Making statements based on opinion; back them up with references or personal experience.
To learn more, see our tips on writing great answers.
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
StackExchange.ready(
function () {
StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmath.stackexchange.com%2fquestions%2f3008230%2fmathematics-group-theory%23new-answer', 'question_page');
}
);
Post as a guest
Required, but never shown
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
