I have a question that states to find a familiar(fairly common) group that is isomorphic to $A_4/V_{4}$, where $V_{4}$ is the Klein-4 group. I am probably just having a mental break, but either the answer or some guidance to get to a possible solution would be greatly appreciated. Thanks
2025-01-13 00:09:13.1736726953
Find a group to which $A_4/V_{4}$ is isomorphic
60 Views Asked by Brandon Klein https://math.techqa.club/user/brandon-klein/detail At
1
There are 1 best solutions below
Related Questions in GROUP-THEORY
- Number of necklaces of 16 beads with 8 red beads, 4 green beads and 4 yellow beads
- Proper and discontinuous action of a group
- Category Theory compared with Meta-Grammars (or Hyper-Grammars) in Programming Languages
- Prove a subgroup is normal
- Is a finite group $G$ determined by the sequence $p(G,k)$ of probabilities that $G$ is generated by $k$ random elements?
- Conjugacy classes for rotations of $D_{2n}$
- Understanding the concept
- To prove a statement about finite groups of even order.
- Normal subgroup of prime order in the center
- Showing that the groups (Q,+) and (Q⁺,*) are not isomorphic
Related Questions in FINITE-GROUPS
- Number of necklaces of 16 beads with 8 red beads, 4 green beads and 4 yellow beads
- Prove a subgroup is normal
- Is a finite group $G$ determined by the sequence $p(G,k)$ of probabilities that $G$ is generated by $k$ random elements?
- Normal subgroup of prime order in the center
- Order of subgroups formed by elements whose order divides a prime power
- Order of elements in a cyclic group ($\mathbb Z_{26}$)
- commutator subgroup of upper triangular matrix
- In what sense are the linear characters among the irreducible characters
- Proof that the induced class function $\theta^G$ is a character if $\theta$ is a representation on subgroup
- On commutator relations and nilpotency class of a $p$-group
Related Questions in PERMUTATIONS
- How many 4 digits numbers divisible by 5 can be formed with digits 0,1,2,3,4,5,6 and 6?
- How to write the identity permutation as a product of transpositions
- Given the permutation recurrence relation find $a_n$
- How many ways to assign $8$ teachers?
- In how many $3$ letters word can be arranged from the word 'MOVIES'?
- How many integers between 1000 and 9999 inclusive consist of
- How to find a high power of a given permutation?
- How many possible passwords are there with these restrictions?
- Permutations: Ball Bearings to be shared
- Automorphism group for a graph
Related Questions in GROUP-ISOMORPHISM
- Showing that the groups (Q,+) and (Q⁺,*) are not isomorphic
- Quotient isomorphism question.
- Showing that the two groups are isomorphic
- A question about the composition series of two particular isomorphic groups
- Find a group to which $A_4/V_{4}$ is isomorphic
- Characteristic subgroups and automorphisms
- Automorphisms of the Symmetric Group
- Is $\mathbb{R}^*\oplus \mathbb{R}^* \simeq \mathbb{C}^*$?
- Is a group isomorphic to one of its realizations?
- Questions about strong subgroups ($H < G$, $f(H)=H$ for all isomorphisms of $G$)
Trending Questions
- Induction on the number of equations
- How to convince a math teacher of this simple and obvious fact?
- Refuting the Anti-Cantor Cranks
- Find $E[XY|Y+Z=1 ]$
- Determine the adjoint of $\tilde Q(x)$ for $\tilde Q(x)u:=(Qu)(x)$ where $Q:U→L^2(Ω,ℝ^d$ is a Hilbert-Schmidt operator and $U$ is a Hilbert space
- Why does this innovative method of subtraction from a third grader always work?
- What are the Implications of having VΩ as a model for a theory?
- How do we know that the number $1$ is not equal to the number $-1$?
- Defining a Galois Field based on primitive element versus polynomial?
- Is computer science a branch of mathematics?
- Can't find the relationship between two columns of numbers. Please Help
- Is there a bijection of $\mathbb{R}^n$ with itself such that the forward map is connected but the inverse is not?
- Identification of a quadrilateral as a trapezoid, rectangle, or square
- A community project: prove (or disprove) that $\sum_{n\geq 1}\frac{\sin(2^n)}{n}$ is convergent
- Alternative way of expressing a quantied statement with "Some"
Popular # Hahtags
real-analysis
calculus
linear-algebra
probability
abstract-algebra
integration
sequences-and-series
combinatorics
general-topology
matrices
functional-analysis
complex-analysis
geometry
group-theory
algebra-precalculus
probability-theory
ordinary-differential-equations
limits
analysis
number-theory
measure-theory
elementary-number-theory
statistics
multivariable-calculus
functions
derivatives
discrete-mathematics
differential-geometry
inequality
trigonometry
Popular Questions
- How many squares actually ARE in this picture? Is this a trick question with no right answer?
- What is the difference between independent and mutually exclusive events?
- Visually stunning math concepts which are easy to explain
- taylor series of $\ln(1+x)$?
- Determine if vectors are linearly independent
- What does it mean to have a determinant equal to zero?
- How to find mean and median from histogram
- Difference between "≈", "≃", and "≅"
- Easy way of memorizing values of sine, cosine, and tangent
- How to calculate the intersection of two planes?
- What does "∈" mean?
- If you roll a fair six sided die twice, what's the probability that you get the same number both times?
- Probability of getting exactly 2 heads in 3 coins tossed with order not important?
- Fourier transform for dummies
- Limit of $(1+ x/n)^n$ when $n$ tends to infinity
Hint: the order of $A_{4}/V_{4}$ is $12/4 = 3$. How many groups of order $3$ are there up to isomorphism? (Feel free to comment if you need more).