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.
Threads
Graduate What Group Contains Elements a and b in Abstract Algebra?
- ShengyaoLiang
- · Replies 2 ·
Graduate Does Continuity Play a Role in Modern Algebra?
- pivoxa15
- · Replies 18 ·
Graduate Is Galois' groundbreaking paper on solvable groups still relevant today?
- jostpuur
- · Replies 2 ·
Undergrad How can I find Y from two equations WITHOUT using X?
- danni7070
- · Replies 5 ·
Graduate What Insights Exist on the Summation of \(\sum_{n=1}^{\infty} \frac{1}{n^3}\)?
- jason17349
- · Replies 5 ·
Graduate How does ending in 5 impact the divisibility of x by 7 in Pell's equation?
- mathslover
- · Replies 6 ·
Graduate Correct reasoning about direct sums proof?
- quasar_4
- · Replies 4 ·
Graduate Young Tableux and representation theory
- Haelfix
- · Replies 1 ·
Undergrad How to compute row-reduced echelon form and understand upper triangular matrices
- innightmare
- · Replies 7 ·
Undergrad Vector question to think about
- nick227
- · Replies 15 ·
Graduate What will I learn in a course on Groups and Symmetries?
- Howers
- · Replies 2 ·
Graduate Why Adjoint Representation Has a Higher Dimension Than Basis Matrices?
- Ratzinger
- · Replies 16 ·
Undergrad Linear independence after change of basis
- cscott
- · Replies 2 ·
Graduate What is the kernel of a field morphism and how is it related to ideals?
- eep
- · Replies 7 ·
Graduate Can Monads Transform the User Experience on YouTube?
- genneth
- · Replies 1 ·
Graduate Construction of a cyclic sequence re the Golden Ratio
- ramsey2879
- · Replies 2 ·
Undergrad Solving Cross Product w/ Determinants: Setting Up Equations
- danny271828
- · Replies 8 ·
Undergrad What is the mathematical logic behind scalar and cross product definitions?
- murshid_islam
- · Replies 9 ·
Graduate Lie algebra, ideal and isomorphism
- jostpuur
- · Replies 13 ·
Graduate Are Algebraic Closures of a Field Isomorphic?
- barbiemathgurl
- · Replies 22 ·
Undergrad Demonstration/proof advice needed
- inner08
- · Replies 3 ·
Graduate Galois Solvable Group and Realizability over \mathbb{Q} for |G|=p^n
- Kummer
- · Replies 5 ·
Graduate Number Theory: Find Multiplicative Order for (a,n) = 1
- SeReNiTy
- · Replies 2 ·
High School Number Patterns and Multiples of 9: Investigating Interesting Sequences from 2-9
- TR345
- · Replies 3 ·
Graduate Irreducibility test for polynomials over Fp
- geor
- · Replies 4 ·
Undergrad Crash course in abstract algebra
- terhorst
- · Replies 19 ·
Graduate Understanding the Trivial Zeros of the Riemann Hypothesis
- kezman
- · Replies 9 ·
High School Guessing Number-Generating Algorithm
- caldiar
- · Replies 6 ·
Graduate What's the effect of using modular counting in matrices?
- Coolphreak
- · Replies 2 ·
Graduate Fermat's Last Theorem: Proving the Impossibility of Integral Solutions for n>2
- ron_jay
- · Replies 52 ·
Graduate Group Formation: Converting Sets into Groups with Binary Operations
- Kummer
- · Replies 4 ·
Graduate Repost of Carrying and cocycles by james dolan (part one)
- Chris Hillman
- · Replies 2 ·
Undergrad Why are vector spaces and sub-spaces so crucial in math?
- Howers
- · Replies 4 ·
Graduate Can the Triangular Number Identity Be Simplified Further for Different Series?
- ramsey2879
- · Replies 17 ·
Graduate Gram–Schmidt Process for Orthonormalizing Vectors in R^n
- kakarukeys
- · Replies 3 ·
Graduate Solve Fermat's Equation: Leopold Kronecker UFD
- Kummer
- · Replies 14 ·
High School Orthogonal Matrices Explained: Examples & More
- captain
- · Replies 7 ·
Graduate 'Pseudocubality' - fast tests for large possible-cubes
- CRGreathouse
- · Replies 8 ·
Undergrad What Are Inverse Transformations and Generating Functions?
- aggarwal
- · Replies 5 ·
Graduate Is x²-y²+3xy-x⁴+5y⁴+z⁴-2t⁴+3xyzt-6x²tz+5x²y² a 4-Linear Form?
- Sangoku
- · Replies 1 ·
Graduate Hypermatrices and Hyperdeterminant
- Sangoku
- · Replies 6 ·
Graduate Need help to proof Adjugate Matrix
- nasromeo
- · Replies 2 ·
Graduate Question on a form of the Euler constant
- themandotcom
- · Replies 1 ·
Graduate Grassmann Numbers: Generator Symbols & More
- captain
- · Replies 1 ·
Graduate Complementary slackness and the transportation problem
- catcherintherye
- · Replies 1 ·
Graduate Non-Inner Product Metric Space: Understanding & Examples
- kthouz
- · Replies 2 ·
Graduate Understanding the field structure for A_5 and more
- bham10246
- · Replies 20 ·
Graduate Which Book Explains Linear Operators in Quantum Mechanics for Beginners?
- Atanu
- · Replies 4 ·
Graduate What is the connection between discriminants and Galois groups?
- mathwonk
- · Replies 2 ·
Graduate Proving Constant Sequence of Positive Integers Starting with n
- Feldoh
- · Replies 10 ·
Graduate Prep for Algebra Comprehensive Exam #4
- BSMSMSTMSPHD
- · Replies 18 ·
Graduate Discriminant - Nice thinking stump
- Palindrom
- · Replies 15 ·
Graduate Let E be an algebraic over F, F is perfect. Show that E is perfect
- barbiemathgurl
- · Replies 5 ·
Graduate An elementary question regarding Galois theory
- bham10246
- · Replies 11 ·
Graduate Constructing a Division Ring of Quaternions over K: Conditions and Solutions
- Ragna
- · Replies 3 ·
Graduate Group isomorphism and Polynomial ring modulo ideal
- X-il3
- · Replies 4 ·
Undergrad Subspace Addition: Understanding the Union of A and B
- moonbeam
- · Replies 5 ·
Graduate Unique Factorization in $\mathbb{Z}[\zeta]$
- Kummer
- · Replies 6 ·
Graduate Certain product sequences and their factors
- ramsey2879
- · Replies 1 ·
Graduate Representations of SU(2) are equivalent to their duals
- arg
- · Replies 4 ·
Graduate Prove Finite Simple Group has no Subgroup of Index 5
- bham10246
- · Replies 9 ·
Undergrad Prep for Algebra Comprehensive Exam #3
- BSMSMSTMSPHD
- · Replies 12 ·
Graduate Field trace and norm (Equivalence between definitions)
- Palindrom
- · Replies 2 ·
Graduate Inner Product Space over Fnite Field
- jOc3
- · Replies 7 ·
Graduate Explaining SO(3) and U(2) Lie Group Relationships to Non-Experts
- belliott4488
- · Replies 7 ·
Graduate Galois extension of a field with Characteristic 0
- bham10246
- · Replies 1 ·
Graduate What is the pattern of twin prime acceleration?
- eminent_youtom
- · Replies 3 ·
Graduate Why is \(\phi^{-1}(a'b') = (\phi^{-1}a')(\phi^{-1}b')\) True?
- learningphysics
- · Replies 4 ·
Graduate Why is x not invertible in F[x]?
- bartieshaw
- · Replies 8 ·
Undergrad Understanding Subgroups of Integers: Explained Simply
- matheinste
- · Replies 6 ·
Graduate Showing that a subgroup is subnormal in the original group G
- bham10246
- · Replies 4 ·
Graduate Galois Theory (degree 4 polynomial)
- bham10246
- · Replies 7 ·
Graduate An ideal in a ring as 'analogous' to a normal subgroup of a group, but
- matheinste
- · Replies 7 ·
High School Free Number Theory Basics for Beginners
- Feldoh
- · Replies 12 ·
Undergrad Solving Linear Program (P): Adding Slack Variables
- catcherintherye
- · Replies 2 ·
Graduate It shows that V is the dual space of V*?
- Mr.M
- · Replies 5 ·
Undergrad How do I perform eigenvalue analysis for a matrix without mathematical software?
- uiulic
- · Replies 2 ·
Graduate Prep for Algebra Comprehensive Exam #2
- BSMSMSTMSPHD
- · Replies 5 ·
Graduate Why Does G Equal N_G(P)N in Group Theory?
- bham10246
- · Replies 1 ·
Graduate Solve formulas containing the floor function
- dodo
- · Replies 10 ·
Graduate Is G_nm Isomorphic to G_n x G_m?
- barbiemathgurl
- · Replies 3 ·
Graduate Cartesian Tensors and transformation matrix
- Hacky
- · Replies 3 ·
Graduate What is the Orthogonal Decomposition of x from b in terms of RowA and NulA?
- 413
- · Replies 2 ·
Undergrad Linear Algebra Book Recommendations
- hotcommodity
- · Replies 5 ·
Graduate Can All Coefficients in a Continued Fraction Be the Same Integer?
- Klaus_Hoffmann
- · Replies 1 ·
Graduate Double check - this is prime, yes?
- CRGreathouse
- · Replies 6 ·
Graduate Calculating Eigen Values of a Sparse Matrix
- jeff.sadowski
- · Replies 6 ·
Graduate Prep for Algebra Comprehensive Exam #1
- BSMSMSTMSPHD
- · Replies 6 ·
Undergrad Function vs mapping vs transformation
- uiulic
- · Replies 2 ·
Undergrad Determinant Relationship: det(A) and det(-A) for n x n Matrices
- johndoe3344
- · Replies 5 ·
Graduate Property of the adjoint operator
- ehrenfest
- · Replies 6 ·
Undergrad Is the third condition necessary for a vector space to be considered a subspace?
- uiulic
- · Replies 11 ·
Graduate Solutions of system of nonlinear equations
- smallphi
- · Replies 14 ·
Graduate The sum over primes involving powers of 10
- Klaus_Hoffmann
- · Replies 2 ·
Graduate Solving Groups: Proving AB is Solvable w/ A Normal in G
- bham10246
- · Replies 2 ·
Graduate Can You Construct an Infinite Lattice with Each Integer Exactly Once?
- ramsey2879
- · Replies 3 ·
Graduate Regarding Orthogonal Transformations
- johndoe3344
- · Replies 11 ·
Graduate About invertible and diagonalizable matrices
- jostpuur
- · Replies 4 ·
Undergrad Which text? Second course in linear algebra
- Sulphagne
- · Replies 14 ·
Graduate A conjecture on Cesaro summation and primes.
- Klaus_Hoffmann
- · Replies 6 ·