Question

Stabilizer Conjugation

score 2.8k · Answer 1 · 2015-12-01 17:25:50

2.8k

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Stabilizer Conjugation

Published on 01 Dec 2015 - 17:25

score 367 · Answer 2 · 2026-02-24 07:18:42

367

Views

Full flag $Fl_{\mathbb C}(3)$

Published on 24 Feb 2026 - 7:18

score 55 · Answer 3 · 2015-12-02 20:04:24

55

Views

For a group acting such that each nontrivial element has at most two fixed point, size of orbit of single $2$-power order element

Published on 02 Dec 2015 - 20:04

score 130 · Answer 4 · 2015-12-03 15:09:22

130

Views

Spivak's curious thoughts about the action of permutations.

Published on 03 Dec 2015 - 15:09

score 42 · Answer 5 · 2015-12-04 00:20:20

42

Views

Closed maps and finite group actions

Published on 04 Dec 2015 - 0:20

score 28 · Answer 6 · 2015-12-04 11:36:24

28

Views

For a specific subgroup $N$ of index $2$ why $( S \setminus Q ) \cap N = \emptyset$ if $S \in \mbox{Syl}_2(G)$ and $|S : Q| = 2$

Published on 04 Dec 2015 - 11:36

score 26 · Answer 7 · 2015-12-04 16:23:09

26

Views

group actions - show $s_2 = e_A$

Published on 04 Dec 2015 - 16:23

score 80 · Answer 8 · 2015-12-04 21:53:55

80

Views

If $G$ acts such that $|\mbox{fix}(g)|\le 2$ for $g \ne 1$ and $O_p(G) \ne 1$ and $|G_{\alpha}|$ odd. Assertions about Frobenius groups

Published on 04 Dec 2015 - 21:53

score 50 · Answer 9 · 2015-12-05 14:12:58

50

Views

If $G$ acts nonregular, transitive and $|\mbox{fix}(g)| \le 2$, $|G_{\alpha}|$ is odd and $|\Omega|$ is even, then $|G|$ has twice odd order

Published on 05 Dec 2015 - 14:12

score 47 · Answer 10 · 2015-12-05 16:15:43

47

Views

If $P\unlhd G$ is semiregular and $G$ such that $|\mbox{fix}(g)| \le 2$ for $g \ne 1$. Each $g \ne 1$ has at most one fixed point in each $P$-orbit

Published on 05 Dec 2015 - 16:15

score 382 · Answer 11 · 2015-12-06 16:56:52

382

Views

What does it mean to say a single element acts semi-regularly

Published on 06 Dec 2015 - 16:56

score 53 · Answer 12 · 2015-12-07 19:50:57

53

Views

If $G$ is solvable and acts such that $\mbox{fix}(g) \in \{0,p\}$ for $g \ne 1$, then maximal normal subgroups are Frobenius groups

Published on 07 Dec 2015 - 19:50

score 134 · Answer 13 · 2015-12-07 20:46:30

134

Views

What does it mean that the Frobenius representation of a group is unique, and what are its consequences

Published on 07 Dec 2015 - 20:46

score 145 · Answer 14 · 2015-12-07 21:19:59

145

Views

If $G$ is solvable and acts such that $\mbox{fix}(g) \in \{0,p\}$ for $g \ne 1$ and $M$ is maximal normal. Then $|G/M| = p$.

Published on 07 Dec 2015 - 21:19

score 228 · Answer 15 · 2015-12-08 15:27:14

228

Views

The kernel of an action on blocks, specifically the action on the orbits of normal subgroup

Published on 08 Dec 2015 - 15:27

List Question

Stabilizer Conjugation

Full flag $Fl_{\mathbb C}(3)$

For a group acting such that each nontrivial element has at most two fixed point, size of orbit of single $2$-power order element

Spivak's curious thoughts about the action of permutations.

Closed maps and finite group actions

For a specific subgroup $N$ of index $2$ why $( S \setminus Q ) \cap N = \emptyset$ if $S \in \mbox{Syl}_2(G)$ and $|S : Q| = 2$

group actions - show $s_2 = e_A$

If $G$ acts such that $|\mbox{fix}(g)|\le 2$ for $g \ne 1$ and $O_p(G) \ne 1$ and $|G_{\alpha}|$ odd. Assertions about Frobenius groups

If $G$ acts nonregular, transitive and $|\mbox{fix}(g)| \le 2$, $|G_{\alpha}|$ is odd and $|\Omega|$ is even, then $|G|$ has twice odd order

If $P\unlhd G$ is semiregular and $G$ such that $|\mbox{fix}(g)| \le 2$ for $g \ne 1$. Each $g \ne 1$ has at most one fixed point in each $P$-orbit

What does it mean to say a single element acts semi-regularly

If $G$ is solvable and acts such that $\mbox{fix}(g) \in \{0,p\}$ for $g \ne 1$, then maximal normal subgroups are Frobenius groups

What does it mean that the Frobenius representation of a group is unique, and what are its consequences

If $G$ is solvable and acts such that $\mbox{fix}(g) \in \{0,p\}$ for $g \ne 1$ and $M$ is maximal normal. Then $|G/M| = p$.

The kernel of an action on blocks, specifically the action on the orbits of normal subgroup

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