Newbetuts
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New posts in finite-groups
a question about fixed-point-free automorphism
group-theory
finite-groups
$G/H$ is a finite group so $G\cong\mathbb Z$
group-theory
finite-groups
Example of a group
abstract-algebra
group-theory
finite-groups
Conjugacy classes of non-Abelian group of order $p^3$
abstract-algebra
group-theory
finite-groups
Subgroups of the Klein-4 Group
abstract-algebra
group-theory
finite-groups
Every infinite G has a S.T $o(a)=\infty?$ [closed]
group-theory
finite-groups
infinite-groups
Probability of $\alpha\beta\gamma=\gamma\beta\alpha$ for random permutations of a finite set?
probability
group-theory
finite-groups
permutations
Why is conjugation by an odd permutation in $S_n$ not an inner automorphism on $A_n$?
abstract-algebra
group-theory
finite-groups
symmetric-groups
Show that $\mathbb{Z}_{2} \times \mathbb{Z}_{4}$ is not a cyclic group
abstract-algebra
group-theory
finite-groups
Group of order 24 with no element of order 6 is isomorphic to $S_4$
abstract-algebra
finite-groups
representation-theory
sylow-theory
Formula for number of conjugacy classes in terms of characters [duplicate]
finite-groups
representation-theory
characters
Embeddings of finite groups into $\mathrm{GL}_n(\mathbb{Z})$
group-theory
finite-groups
Is there a classification of finite abelian group schemes?
finite-groups
algebraic-groups
A finite abelian group that does not contain a subgroup isomorphic to $\mathbb Z_p\oplus\mathbb Z_p$, for any prime $p$, is cyclic.
abstract-algebra
group-theory
finite-groups
abelian-groups
Let $(G, \cdot)$ be a group with $26$ elements. Prove $x^3\neq e$ for all $x\in G\setminus\{e\}$ [closed]
abstract-algebra
group-theory
finite-groups
Can one distinguish finite groups by their maps from abelian groups?
group-theory
finite-groups
category-theory
abelian-groups
If we are handed the presentation $\langle i,j,k \mid i^2=j^2=k^2=ijk \rangle$ and nothing more, can we deduce that this is the quaternion group?
group-theory
finite-groups
quaternions
group-presentation
combinatorial-group-theory
Let $G=\langle x, y\mid x^7=y^3= e, yxy^{−1}=e\rangle$. Find $|G|$. Find a group that is isomorphic to $G$. Explicitly state the isomorphism
group-theory
finite-groups
group-presentation
What is the number of squares in $S_n$?
group-theory
finite-groups
permutations
generating-functions
symmetric-groups
A lot of even elements
finite-groups
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