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visits member for 1 year, 11 months
seen Jan 17 '13 at 8:55

Jul
2
awarded  Curious
Jan
17
comment Krull dimension of the injective hull of residue field
@ Tobias. Thank you!
Jan
17
awarded  Scholar
Jan
17
accepted Linear compact module
Jan
17
accepted Existence of a simple submodule
Jan
17
accepted If there exists a subgroup contained in all nontrivial subgroups of $G$, then $G$ is quasicyclic.
Jan
17
accepted Associate prime ideals and exact sequences of $R$-modules
Jan
16
asked Krull dimension of the injective hull of residue field
Jan
11
awarded  Teacher
Jan
11
revised Prove that if $M$ is an $R$-module of finite length, then $\operatorname{End}_R(M)$ is artinian
added 1 characters in body
Jan
11
awarded  Editor
Jan
11
revised Prove that if $M$ is an $R$-module of finite length, then $\operatorname{End}_R(M)$ is artinian
added 1 characters in body
Jan
11
answered Prove that if $M$ is an $R$-module of finite length, then $\operatorname{End}_R(M)$ is artinian
Jan
2
comment Subgroup with order $p^s$ contained in a subgroup with oder $p^{s+1}$
Tobias, thank you very much.
Jan
2
comment Subgroup with order $p^s$ contained in a subgroup with oder $p^{s+1}$
Oh, this is an exercise in my final test. Can you give me some details about the example that you say about. Thank you!
Jan
2
comment Subgroup with order $p^s$ contained in a subgroup with oder $p^{s+1}$
@ Tobias: Ok, a finite $p-$group $G$ has a non-trivial center. But is it true in case G is infinite?
Jan
1
comment If there exists a subgroup contained in all nontrivial subgroups of $G$, then $G$ is quasicyclic.
Sorry Babak Sorouh for my late. I have learn many thing from your help. Thank you very much!
Jan
1
asked Subgroup with order $p^s$ contained in a subgroup with oder $p^{s+1}$
Dec
9
comment If there exists a subgroup contained in all nontrivial subgroups of $G$, then $G$ is quasicyclic.
I can see $G$ is torsion and $G\cong G_p$ for some prime $p$. $G$ is dividable if $pG= G$, so suppose $G/pG\ne 0$. I pass to consider $G/pG$ is a $Z_p$-vector space to get something wrong, but I stuck here. Can you give me some help.
Dec
6
comment If there exists a subgroup contained in all nontrivial subgroups of $G$, then $G$ is quasicyclic.
@ Hagen von Eitzen: Thank. There are some mistakes in my question. The case that I want to mention is : $H\le G$ is a non-trivial subgroup of $G$ and that for every non-trivial subgroup $X\le G$, we have $H\le X$. What do you think about this case?