List questions from sylow-theory

Published on 14 Apr 2026 - 20:53

62

Views

A finite group with trivial intersection of arbitrary different Sylow $p$-subgroups.

Published on 13 Apr 2026 - 21:12

354

Views

Problem from Herstein's book (section 2.12, problem 16)

Published on 12 Apr 2026 - 20:57

345

Views

Group of order 71119 has a normal subgroup of order 11 or order 19

Published on 17 Apr 2026 - 12:35

117

Views

Proof Check: Product of a normal p-Sylow subgroup and another q-Sylow

Published on 14 Apr 2026 - 11:53

316

Views

Sylow Counting Generalization of Hall Theorem

Published on 14 Apr 2026 - 15:10

215

Views

Groups of Order 360

Published on 29 Apr 2026 - 12:42

1.2k

Views

Group of order 42 has normal subgroup

Published on 15 Apr 2026 - 10:29

191

Views

A group of order $2p^n$ has a unique Sylow p-subgroup.

Published on 15 Apr 2026 - 7:12

133

Views

Show that the dihedral group $D_{16}$ is the internal direct product of its Sylow subgroups.

Published on 29 Apr 2026 - 12:52

981

Views

Classify all groups of order 231 = 3.7.11

Published on 17 Apr 2026 - 7:35

179

Views

How many non-abelian groups of order $lpq$ are there?

Published on 19 Apr 2026 - 12:54

96

Views

Let $f(x)$ be irreducible in the rationals so that the order of $\operatorname{Gal}(f(x))$ is $255$. Show that $f(x)$ is solvable by radicals.

Published on 10 May 2026 - 12:35

45

Views

Sylow p-subgroups and conjugacy

Published on 14 Apr 2026 - 10:42

83

Views

On the finite non-nilpotent group

Published on 25 Apr 2026 - 5:36

List Question

Excercise 5.D.4 from M.Isaacs Finite Group Theory and Tate's Theorem

A finite group with trivial intersection of arbitrary different Sylow $p$-subgroups.

Problem from Herstein's book (section 2.12, problem 16)

Group of order 71119 has a normal subgroup of order 11 or order 19

Proof Check: Product of a normal p-Sylow subgroup and another q-Sylow

Sylow Counting Generalization of Hall Theorem

Groups of Order 360

Group of order 42 has normal subgroup

A group of order $2p^n$ has a unique Sylow p-subgroup.

Show that the dihedral group $D_{16}$ is the internal direct product of its Sylow subgroups.

Classify all groups of order 231 = 3.7.11

How many non-abelian groups of order $lpq$ are there?

Let $f(x)$ be irreducible in the rationals so that the order of $\operatorname{Gal}(f(x))$ is $255$. Show that $f(x)$ is solvable by radicals.

Sylow p-subgroups and conjugacy

On the finite non-nilpotent group

Trending Questions

Popular # Hahtags

Popular Questions