Newbetuts
.
New posts in sylow-theory
A little confusion regarding Sylow $p$-subgroups generated by a $p$-cycle
group-theory
sylow-theory
permutation-cycles
What is the intersection of all Sylow $p$-subgroup's normalizer?
abstract-algebra
group-theory
finite-groups
sylow-theory
After using Sylow Theorems, how can we say how many elements of order 5 might be there in a group of order 20? [duplicate]
abstract-algebra
group-theory
finite-groups
cyclic-groups
sylow-theory
A group of order $595$ has a normal Sylow 17-subgroup.
proof-verification
sylow-theory
Let $|G|=735$. If the number of Sylow $7$-subgroups are more than $1$, then show that there exists a normal Sylow $5$-subgroup.
group-theory
finite-groups
normal-subgroups
sylow-theory
A group of order $120$ has a subgroup of index $3$ or $5$ (or both)
abstract-algebra
group-theory
finite-groups
sylow-theory
No simple group of order $1,000,000$
abstract-algebra
group-theory
sylow-theory
Solvable and nilpotent groups, normal series and intuition
group-theory
soft-question
intuition
sylow-theory
solvable-groups
Every group of order $150$ has a normal subgroup of order $25$
abstract-algebra
group-theory
finite-groups
sylow-theory
Let G be a group of order 24 that is not isomorphic to S4. Then one of its Sylow subgroups is normal.
abstract-algebra
group-theory
sylow-theory
Are all Sylow 2-subgroups in $S_4$ isomorphic to $D_4$?
abstract-algebra
group-theory
permutations
sylow-theory
Group of order 24 with no element of order 6 is isomorphic to $S_4$
abstract-algebra
finite-groups
representation-theory
sylow-theory
$|G|=p(p+1)$ for $p$ prime, then $G$ has a normal subgroup of order $p$ or $p+1$
group-theory
sylow-theory
Show that if $|G|=30$ then $G$ has normal $3$-Sylow and $5$-Sylow
group-theory
finite-groups
solution-verification
normal-subgroups
sylow-theory
Group of order $1225$ is abelian
abstract-algebra
group-theory
abelian-groups
normal-subgroups
sylow-theory
Different Applications of Sylow Theorems
group-theory
sylow-theory
Homomorphic image of a Sylow p-subgroup is Sylow p-subgroup.
group-theory
sylow-theory
Normalizing every Sylow p-subgroup versus centralizing every Sylow p-subgroup
group-theory
finite-groups
sylow-theory
Group of order $1575$ having a normal sylow $3$ subgroup is abelian.
abstract-algebra
group-theory
finite-groups
sylow-theory
Efficient method to find the center of the $SL(2, 3)$
group-theory
finite-groups
sylow-theory
Prev
Next