Newbetuts
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New posts in group-theory
How to prove $e^{A \oplus B} = e^A \otimes e^B$ where $A$ and $B$ are matrices? (Kronecker operations)
linear-algebra
abstract-algebra
group-theory
ring-theory
quantum-mechanics
Show that $\mathbb{Q}^+/\mathbb{Z}^+$ cannot be decomposed into the direct sum of cyclic groups.
abstract-algebra
group-theory
Central extensions versus semidirect products
abstract-algebra
group-theory
semidirect-product
group-extensions
central-extensions
Interesting Property of $(\Bbb Z_n,+)$
abstract-algebra
group-theory
Show that $\mathbb{R}/\mathbb{Z}$ is isomorphic to $\{e^{i\theta} : 0 \le \theta \le 2\pi \}$
group-theory
Can we conclude that this group is cyclic? [duplicate]
abstract-algebra
group-theory
finite-groups
cyclic-groups
Frattini subgroup is set of nongenerators
abstract-algebra
group-theory
Lie groups as manifolds
group-theory
differential-geometry
algebraic-topology
Why are there $12$ automorphisms of $\Bbb Z\oplus \Bbb Z_{3}$?
abstract-algebra
group-theory
finite-groups
abelian-groups
Least permutations needed to permute from decreasing order to increasing order
sequences-and-series
group-theory
finite-groups
permutations
Do groups have Duals?
group-theory
duality-theorems
dual-spaces
Characterization of nonabelian group $G$ such that for all $x,y\in G$, $xy\neq yx\implies x^2=y^2$.
abstract-algebra
group-theory
Two applications of Goursat's lemma in Group theory
group-theory
Intermediate fields of cyclotomic splitting fields and the polynomials they split
group-theory
galois-theory
Normalizer of a Sylow 2-subgroups of dihedral groups
abstract-algebra
group-theory
finite-groups
sylow-theory
dihedral-groups
Explicit isomorphism $S_4/V_4$ and $S_3$ [duplicate]
group-theory
finite-groups
permutations
If $G$ is a group with order $364$, then it has a normal subgroup of order $13$
group-theory
Graphically Organizing the Interrelationships of Basic Algebraic Structures
abstract-algebra
group-theory
ring-theory
definition
Prove every group of order less or equal to five is abelian [closed]
abstract-algebra
group-theory
abelian-groups
normal-subgroups
Is there a simple proof of the fact that if free groups $F(S)$ and $F(S')$ are isomorphic, then $\operatorname{card}(S)=\operatorname{card}(S')?$ [duplicate]
group-theory
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