Question

Intersection of subgroups with normal series of prime index

score 110 · Answer 1 · 2017-11-21 03:09:33

110

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Intersection of subgroups with normal series of prime index

Published on 21 Nov 2017 - 3:09

score 548 · Answer 2 · 2017-11-21 16:24:22

548

Views

Subextension of a field with Galois series of subextensions of prime degree

Published on 21 Nov 2017 - 16:24

score 97 · Answer 3 · 2017-11-22 04:00:03

97

Views

If $L_2/L_1$ is Galois, then $L_2 \cap K / L_1 \cap K$ is Galois

Published on 22 Nov 2017 - 4:00

score 92 · Answer 4 · 2017-11-24 20:33:59

92

Views

Min. number of generators of a finite $p$-group is $\dim_{\mathbb{Z}/p\mathbb{Z}}(G/G^p[G,G])$

Published on 24 Nov 2017 - 20:33

score 76 · Answer 5 · 2017-12-03 21:18:47

76

Views

Correspondence between finite Galois extensions and abelian p-groups

Published on 03 Dec 2017 - 21:18

score 516 · Answer 6 · 2017-12-04 09:14:41

516

Views

Does $p$ always divide $[N_G(H) : H]$ when $G$ is a $p$-group?

Published on 04 Dec 2017 - 9:14

score 398 · Answer 7 · 2017-12-05 18:33:29

398

Views

Order of automorphism group of abelian group

Published on 05 Dec 2017 - 18:33

score 296 · Answer 8 · 2017-12-18 21:03:08

296

Views

Show that there is a nonabelian group of order $p^n$ with a cyclic subgroup of index $p$

Published on 18 Dec 2017 - 21:03

score 367 · Answer 9 · 2017-12-24 13:19:43

367

Views

$G$ is a non-cyclic group of order $p^2$. Then $\langle g \rangle \cap \langle k \rangle = \{e\}$

Published on 24 Dec 2017 - 13:19

score 104 · Answer 10 · 2017-12-24 19:32:04

104

Views

cyclic subgroups of a $p$-group

Published on 24 Dec 2017 - 19:32

score 775 · Answer 11 · 2017-12-27 21:58:50

775

Views

If $G$ is a group of order $250,000 = 2^4 5^6$, show that $G$ is not simple.

Published on 27 Dec 2017 - 21:58

score 80 · Answer 12 · 2017-12-28 01:03:47

80

Views

Let $P$ be a finite p-group, $A\vartriangleleft P$, with $|A|= p$. Show that $A \subseteq Z(P)$

Published on 28 Dec 2017 - 1:03

score 25 · Answer 13 · 2018-01-09 10:41:01

25

Views

Why is $M(p)/L_p $ a Dedekind p-group? (Where $M(p)/L$ is the p-Sylow of $G/L$)

Published on 09 Jan 2018 - 10:41

score 17.8k · Answer 14 · 2010-10-30 19:39:40

17.8k

Views

A normal subgroup intersects the center of the $p$-group nontrivially

Published on 30 Oct 2010 - 19:39

score 5.2k · Answer 15 · 2011-02-20 22:03:36

5.2k

Views

Characterizations of the $p$-Prüfer group

Published on 20 Feb 2011 - 22:03

List Question

Intersection of subgroups with normal series of prime index

Subextension of a field with Galois series of subextensions of prime degree

If $L_2/L_1$ is Galois, then $L_2 \cap K / L_1 \cap K$ is Galois

Min. number of generators of a finite $p$-group is $\dim_{\mathbb{Z}/p\mathbb{Z}}(G/G^p[G,G])$

Correspondence between finite Galois extensions and abelian p-groups

Does $p$ always divide $[N_G(H) : H]$ when $G$ is a $p$-group?

Order of automorphism group of abelian group

Show that there is a nonabelian group of order $p^n$ with a cyclic subgroup of index $p$

$G$ is a non-cyclic group of order $p^2$. Then $\langle g \rangle \cap \langle k \rangle = \{e\}$

cyclic subgroups of a $p$-group

If $G$ is a group of order $250,000 = 2^4 5^6$, show that $G$ is not simple.

Let $P$ be a finite p-group, $A\vartriangleleft P$, with $|A|= p$. Show that $A \subseteq Z(P)$

Why is $M(p)/L_p $ a Dedekind p-group? (Where $M(p)/L$ is the p-Sylow of $G/L$)

A normal subgroup intersects the center of the $p$-group nontrivially

Characterizations of the $p$-Prüfer group

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