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New posts in finite-groups
Every group of order $p^5$ is metabelian
group-theory
finite-groups
Number of elements of order $p$ is a multiple of $p-1$ (finite group).
abstract-algebra
group-theory
finite-groups
When are $((C_2 \times C_2) \rtimes C_3) \rtimes C_2$ and $((C_2 \times C_2) \rtimes C_2) \rtimes C_3$ isomorphic?
abstract-algebra
group-theory
finite-groups
How to find out if a semilinear representation is irreducible (possibly with gap)
group-theory
finite-groups
representation-theory
characters
gap
Show $\operatorname{Aut}(C_2 \times C_2)$ is isomorphic to $S_3=D_6$
abstract-algebra
group-theory
finite-groups
group-isomorphism
How can I prove that $Aut(C_p\times C_p)\simeq GL_2(\mathbb Z/p\mathbb Z)$?
abstract-algebra
group-theory
finite-groups
Classification of groups of order 12
group-theory
finite-groups
groups-enumeration
non-abelian groups of order $p^2q^2$.
abstract-algebra
group-theory
finite-groups
What does $g^1$ represent in group theory?
abstract-algebra
group-theory
finite-groups
How can we determine associativity of a binary structure from its Cayley table? [duplicate]
abstract-algebra
group-theory
finite-groups
How many elements of order two can a nonabelian group have? [duplicate]
group-theory
finite-groups
What's the smallest non-$p$ group that isn't a semidirect product?
group-theory
finite-groups
semidirect-product
The characteristic of the field does not divide the dimension of an irreducible representation
finite-groups
representation-theory
characters
Proving this non-empty set and binary operation is a group [duplicate]
group-theory
finite-groups
semigroups
binary-operations
associativity
Quotient groups of D10
group-theory
finite-groups
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
Reference request: Introduction to Finite Group Cohomology
group-theory
reference-request
finite-groups
group-cohomology
motivation
What is the the sum of orders of all elements of $S_n$?
combinatorics
group-theory
finite-groups
permutations
symmetric-groups
A group of order $120$ has a subgroup of index $3$ or $5$ (or both)
abstract-algebra
group-theory
finite-groups
sylow-theory
Every group with 5 elements is an abelian group
group-theory
finite-groups
abelian-groups
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