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New posts in sylow-theory
Distinct Sylow $p$-subgroups intersect only at the identity, which somehow follows from Lagrange's Theorem. Why?
group-theory
sylow-theory
simple-groups
A question regarding the conditions imposed on an index in the course of the proof of Sylow's theorem I.
abstract-algebra
group-theory
sylow-theory
Let G be a nonabelian group of order $p^3$, where $p$ is a prime number. Prove that the center of $G$ is of order $p$.
abstract-algebra
group-theory
finite-groups
sylow-theory
Let $P\in{\rm Syl}_p(G)$ and $K$ a subgroup of $G$ containing $N_G(P)$. Show that $N_G(K)=K$
abstract-algebra
group-theory
solution-verification
sylow-theory
If $|G|=105$ then there is only one Sylow $5$-subgroup or only one Sylow $7$-subgroup
group-theory
sylow-theory
Understanding the definition of Sylow $p$-subgroups
group-theory
definition
sylow-theory
p-groups
maximal-subgroup
How to check uniqueness of a subgroup from its order? [duplicate]
abstract-algebra
group-theory
finite-groups
group-actions
sylow-theory
$G\le S_n$ in which all $g\ne e$ have $<\sqrt{n}$ cycles must be $\Bbb Z_p$ or $\Bbb Z_p\rtimes\Bbb Z_q$
abstract-algebra
group-theory
permutations
group-actions
sylow-theory
Without using Sylow: Group of order 28 has a normal subgroup of order 7
abstract-algebra
group-theory
finite-groups
group-actions
sylow-theory
Classification of groups of order 30 [duplicate]
abstract-algebra
group-theory
finite-groups
sylow-theory
semidirect-product
A Group Having a Cyclic Sylow 2-Subgroup Has a Normal Subgroup.
group-theory
finite-groups
sylow-theory
normal-subgroups
Is there a geometric idea behind Sylow's theorems?
abstract-algebra
group-theory
soft-question
finite-groups
sylow-theory
A question about Sylow subgroups and $C_G(x)$
group-theory
finite-groups
sylow-theory
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