Join experts in discussing linear and abstract algebra topics. This includes vector spaces and linear transformations. Also groups and other algebraic structures along with Number Theory.
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Graduate Explaining Non Archimedean Norm Proof
- frb
- · Replies 2 ·
Graduate Hiding small numbers in a huge number?
- Ben Huke
- · Replies 4 ·
Graduate What are some key results in algebraic number theory and how can they be proven?
- Diophantus
- · Replies 12 ·
Graduate How to prove trace(A.A*) is positive
- devoured_elysium
- · Replies 4 ·
Undergrad Conflict of interests results in lies?
- seang
- · Replies 2 ·
Graduate Are There Geometrical Methods to Find Integer Points for 2D Symmetryc Form?
- Karlisbad
- · Replies 9 ·
Undergrad Definition of Simultaneous Linear Difference Equations
- muskan
- · Replies 3 ·
Graduate How can I solve the parametric representation problem for x^3+y^3=u^3+v^3?
- gonzo
- · Replies 2 ·
Graduate Polynomials and the Inner Product
- neutrino
- · Replies 14 ·
Graduate How Does SL(2,C) Relate to Its Manifold Structure?
- AlphaNumeric
- · Replies 3 ·
Graduate Cyclotomic polynomials and primitive roots of unity
- xuying1209
- · Replies 4 ·
Help with final exam questions two and six
- uob_student
- · Replies 9 ·
Graduate Randomness of digits of irrational numbers.
- Fallen Seraph
- · Replies 2 ·
Graduate A little problem involving unitary matrices
- DavidK
- · Replies 6 ·
Graduate Issue regarding the orthogonality of eigenvectors for Hermitian
- inquire4more
- · Replies 20 ·
Graduate Ring embeddings, irreducible polynomials, and maximal ideals in F[x]
- buzzmath
- · Replies 5 ·
Undergrad Are Normal Subgroups Defined by Equality of Left and Right Cosets?
- raj123
- · Replies 3 ·
Graduate Can Unique Subgroups Be Generalized as Normal Subgroups?
- brownnrl
- · Replies 1 ·
Graduate MOdular Hypergeometric Sieve and Parallel Processing
- Playdo
- · Replies 5 ·
Undergrad How Do I Solve This Linear Algebra Equation?
- Sandra_xx
- · Replies 3 ·
Graduate Are there any non-trivial automorphisms of the field Q(sqrt2)?
- MathematicalPhysicist
- · Replies 8 ·
Undergrad TI89 program for simplex method phase 1 and 2 with pivot selection
- hammerjr
- · Replies 2 ·
Undergrad Finding eigenvectors for complex eigenvalues in large matrices
- tophman
- · Replies 1 ·
Graduate How Does Lagrange's Theorem Prove a^(|G|+1) = a in Finite Groups?
- Aju
- · Replies 10 ·
Undergrad Is Number Theory a Challenging and Rewarding Course?
- muna580
- · Replies 9 ·
Graduate Proving the recursive formula for LLT positive coefficients
- T.Rex
- · Replies 11 ·
Graduate Newton (iterative) method to solve a diophantine equation
- Karlisbad
- · Replies 5 ·
Undergrad Is g(x) = x^8 + x^7 + ... + x + 1 irreducible?
- ElDavidas
- · Replies 4 ·
Graduate How does the Linear Spike Method relate phi(x,y) to pi(N)?
- Playdo
- · Replies 4 ·
Graduate Proving Norm Difference in Euclidean Ring Z[{\sqrt 2 \over 2}(1+i)]
- gonzo
- · Replies 9 ·
Graduate Euclidean Ring of Z[\zeta]: Unconventional Technique
- gonzo
- · Replies 2 ·
Undergrad Understanding Linear Transformations and Their Applications in Vector Spaces
- lo2
- · Replies 8 ·
Graduate Does Fermat's Last Theorem require a factor of n in x, y, or z?
- vantheman
- · Replies 28 ·
Graduate How do you find the change of basis matrix P for Jordan normal form?
- pivoxa15
- · Replies 2 ·
Undergrad Vector space for cross products?
- pivoxa15
- · Replies 3 ·
Graduate Possible Non-negative Integer Solutions to 3^x + 5^y = 7^z + 1
- K Sengupta
- · Replies 6 ·
Graduate Where Can I Find Abstract Algebra Problems for Studying the Math GRE?
- jammidactyl
- · Replies 9 ·
Graduate What is Quotient? Understanding Algebraic Structures
- leon1127
- · Replies 3 ·
Undergrad Moving an object along a sphere's surface in its facing direction
- kayl669
- · Replies 2 ·
Undergrad Converting from 2D coordinate Systems
- quasi426
- · Replies 1 ·
Graduate Can a Differential Equation Describe the Prime Counting Function?
- eljose
- · Replies 5 ·
Graduate Does a dynamical system underlie the distribution of primes?
- Playdo
- · Replies 7 ·
Undergrad Linearly Independent Vectors: Same Plane?
- kingyof2thejring
- · Replies 2 ·
Undergrad Why is C(n,r) always an integer for integers n and r?
- AlbertEinstein
- · Replies 7 ·
Graduate What is the Unique Function Possessing Certain Properties on Positive Integers?
- K Sengupta
- · Replies 11 ·
Graduate Show Existence of Basis for Vector Space V with No Elements from Subspace M
- radou
- · Replies 7 ·
Graduate Polynomial Multiplication with NTT
- Milkman
- · Replies 8 ·
Graduate Elements in only 1 left/right coset
- Wiemster
- · Replies 2 ·
Graduate Does an Extension of the Primorial Function Exist?
- quinn
- · Replies 3 ·
Graduate Linear representations in Char 0
- dg0666
- · Replies 1 ·
Undergrad Can This Method Solve the Modified System of Linear Equations?
- MathematicalPhysicist
- · Replies 8 ·
Graduate A real number definition involving Bruijn-Newmann constant
- Karlisbad
- · Replies 6 ·
Graduate Understanding Vector Quotient Spaces in Linear Algebra
- mruncleramos
- · Replies 8 ·
Undergrad Finding constants a and b in S=an²+bn from five data points
- Erectable
- · Replies 3 ·
Graduate When is G normal in the amalgamated free product G *_A H?
- Oxymoron
- · Replies 16 ·
Graduate Can a non-simple group have only trivial retracts?
- Oxymoron
- · Replies 32 ·
Graduate Solving equation in finite field
- twoflower
- · Replies 3 ·
Undergrad Find all subgroups of the given group
- twoflower
- · Replies 4 ·
Graduate Finding the inverse of 550 in GF(1997)
- krispiekr3am
- · Replies 1 ·
Graduate Proving the Irreducibility of Multinacci Polynomial g(x) for Natural Numbers m
- Diophantus
- · Replies 2 ·
Undergrad Are the following polynomials irreducible over Z2?
- krispiekr3am
- · Replies 2 ·
Graduate Consider Z4 ({0, 1, 2, 3} mod 4) and GF (4) (also known as GF(2^2)).
- krispiekr3am
- · Replies 2 ·
Graduate Now let’s consider a different polynomial g(x) = x^3 + x^2 + 1.
- krispiekr3am
- · Replies 1 ·
Graduate Is There a Constant That Makes Floor[A^(3^x)] Prime for All x?
- Dragonfall
- · Replies 4 ·
Graduate Proving Normal Subgroup N is Central in Group G
- Cincinnatus
- · Replies 1 ·
Undergrad Finding Z from two equations with X and Y in terms of Z
- thekeyboardbum
- · Replies 2 ·
Graduate Question on Ideals (Algebraic Geometry)
- arunma
- · Replies 3 ·
Graduate Linear Independence of Subsets: Necessary and Sufficient Conditions
- radou
- · Replies 2 ·
Undergrad What Does Triangularizing a Matrix Mean in Linear Algebra?
- kolycholy
- · Replies 1 ·
Undergrad Can the Parameters of a polynomial be determined with a set of examples?
- Alkhimey
- · Replies 2 ·
Graduate Is the concept of perpendicularity the same as orthogonality in linear algebra?
- jbusc
- · Replies 8 ·
Graduate Quadratic template factorization using div and mod operations
- Playdo
- · Replies 1 ·
Graduate Lagrange's Theorem (Order of a group) Abstract Algebra
- anna010101
- · Replies 2 ·
Undergrad Linear Algebra: Proving or Disproving Span Equivalence
- *best&sweetest*
- · Replies 2 ·
Graduate Do Commuting Linear Operators A and B Satisfy the Exponential Property?
- frederick
- · Replies 3 ·
Undergrad Permutation matrices in vector form
- vix_cse
- · Replies 6 ·
Graduate Proving Linear Independence in Vector Spaces with Ordered Sets
- radou
- · Replies 12 ·
Undergrad How to Prove Vectors are Perpendicular Using Dot Products
- finkeroid99
- · Replies 5 ·
Graduate Determining the n-Determinant for an nxn Matrix with a Specific Matrix Element
- Perrry
- · Replies 1 ·
Graduate Proving Homomorphism and Finding Kernel in Abstract Algebra
- raj123
- · Replies 13 ·
Graduate Linear transformations and injectivity with linear independence
- kant
- · Replies 1 ·
Graduate Trees and automorphism groups of amalgamated free products
- Oxymoron
- · Replies 20 ·
Graduate Proving a^t ≡ -1 mod p^a when ord(a) = 2t
- Ch1ronTL34
- · Replies 1 ·
Undergrad Best,j3n nyIs B=A^2 skew-symmetric, symmetric or neither?
- j3n
- · Replies 1 ·
Graduate An inequality involving phi() and pi()
- Playdo
- · Replies 17 ·
Graduate Group Multiplication: HH vs H - Is there a Difference?
- pivoxa15
- · Replies 8 ·
High School Why is pi irrational if circles are finite?
- ValenceE
- · Replies 13 ·
Graduate Double coset H\G/K as orbits: two different actions?
- Oxymoron
- · Replies 13 ·
Graduate Predicting Prime Density in Factorial/Primorial Sequences
- CRGreathouse
- · Replies 4 ·
Graduate Using a different definition of norm
- neutrino
- · Replies 4 ·
Undergrad Random Number Sequences and Probabilities: Are They All Equal?
- ValenceE
- · Replies 3 ·
Graduate Problem of paired sums from two sets of numbers
- ramsey2879
- · Replies 5 ·
Undergrad What are residues in modular arithmetic?
- AlbertEinstein
- · Replies 13 ·
Undergrad How do cube rotations differ from square rotations in geometric transformations?
- pivoxa15
- · Replies 16 ·
Undergrad What distinguishes operators from relations in mathematics?
- Swapnil
- · Replies 7 ·
Graduate Does the Berry operator solve the Riemann zeta zeros?
- eljose
- · Replies 2 ·
Graduate Is Aut(C_2p) Cyclic for Prime p Values 5, 7, 11?
- StudentR
- · Replies 1 ·
Graduate What is the group of rotational symmetries of a regular tetrahedron?
- Nusc
- · Replies 1 ·
Graduate Using Reducible Polynomials for Factoring Natural Numbers
- Playdo
- · Replies 3 ·
Graduate Quadratic congruences with prime modulus
- Ch1ronTL34
- · Replies 9 ·