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New posts in finite-groups
Subgroups of Symmetric groups isomorphic to dihedral group
abstract-algebra
group-theory
finite-groups
Show that any abelian transitive subgroup of $S_n$ has order $n$
group-theory
finite-groups
abelian-groups
symmetric-groups
group-actions
Classification of triply transitive finite groups
group-theory
finite-groups
permutations
How many automorphisms of $S_n$ take transpositions into transpositions?
finite-groups
No group of order 36 is simple
abstract-algebra
group-theory
finite-groups
Sylow $p$-subgroup of a direct product is product of Sylow $p$-subgroups of factors
abstract-algebra
group-theory
finite-groups
sylow-theory
Does every group whose order is a power of a prime p contain an element of order p?
group-theory
finite-groups
p-groups
What are the values of $a$ and $b$ so that $\Bbb Z_2\times\Bbb Z_3\times\Bbb Z_4\times\Bbb Z_9$ is isomorphic with $\Bbb Z_a\times\Bbb Z_b$?
group-theory
finite-groups
abelian-groups
cyclic-groups
group-isomorphism
Every finite group is isomorphic to some Galois group for some finite normal extension of some field.
finite-groups
field-theory
galois-theory
Prove that a proper subgroup of a $p$-group never equals its normalizer.
group-theory
finite-groups
Simple groups of order 168
finite-groups
simple-groups
What are all conditions on a finite sequence $x_1,x_2,...,x_m$ such that it is the sequence of orders of elements of a group?
abstract-algebra
group-theory
graph-theory
finite-groups
Groups and generating sets
group-theory
graph-theory
finite-groups
geometric-group-theory
Number of elements of order coprime to $p$ in a finite group
group-theory
finite-groups
Are some numbers more likely to count conjugacy classes than others?
group-theory
finite-groups
Is there a geometric realization of Quaternion group?
geometry
group-theory
finite-groups
The "architecture" of a finite group
group-theory
finite-groups
simple-groups
Order of conjugate of an element given the order of its conjugate
abstract-algebra
group-theory
finite-groups
Every finite group has a composition series
abstract-algebra
group-theory
finite-groups
Groups of order $56$
abstract-algebra
group-theory
finite-groups
sylow-theory
simple-groups
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