Linear and Abstract Algebra Forum

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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.
Retraction Math Help: Does a Group Exist with Trivial Retracts?
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Solving equation in finite field
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Find all subgroups of the given group
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Inverse of 550 in GF(1997): Explained
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Proving the Irreducibility of Multinacci Polynomial g(x) for Natural Numbers m
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Are the following polynomials irreducible over Z2?
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Consider Z4 ({0, 1, 2, 3} mod 4) and GF (4) (also known as GF(2^2)).
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Now let’s consider a different polynomial g(x) = x^3 + x^2 + 1.
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Is There a Constant That Makes Floor[A^(3^x)] Prime for All x?
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Proving Normal Subgroup N is Central in Group G
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Solve Math Problem: Find Z Given X, Y, & Z Variables
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Question on Ideals (Algebraic Geometry)
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Linear Independence of Subsets: Necessary and Sufficient Conditions
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What Does Triangularizing a Matrix Mean in Linear Algebra?
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Can the Parameters of a polynomial be determined with a set of examples?
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Is the concept of perpendicularity the same as orthogonality in linear algebra?
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Another Base a Factorization Method
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Lagrange's Theorem (Order of a group) Abstract Algebra
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Linear Algebra: Proving or Disproving Span Equivalence
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Permutation matrices in vector form
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Proving Linear Independence in Vector Spaces with Ordered Sets
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Determining the n-Determinant for an nxn Matrix with a Specific Matrix Element
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Proving Homomorphism and Finding Kernel in Abstract Algebra
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Help with a linear algebra problem
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Formation & Properties of Automorphism Group G_1 \star_A G_2
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Question about congruences and orders
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Best,j3n nyIs B=A^2 skew-symmetric, symmetric or neither?
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An inequality involving phi() and pi()
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Group Multiplication: HH vs H - Is there a Difference?
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GA: Understanding the Mysteries of Pi
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Understanding the Double Coset H\backslash G / K
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Predicting Prime Density in Factorial/Primorial Sequences
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Using a different definition of norm
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Random Number Sequences and Probabilities: Are They All Equal?
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Problem of paired sums from two sets of numbers
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Understanding Congruences: Residues & Euler's Totient Function
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How do cube rotations differ from square rotations in geometric transformations?
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Is the Berry Operator the Key to Solving the Zeta Function?
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Is Aut(C_2p) Cyclic for Prime p Values 5, 7, 11?
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What is the group of rotational symmetries of a regular tetrahedron?
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Using Reducible Polynomials for Factoring Natural Numbers
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Quadratic congruences with prime modulus
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Can Muddled Equations and Modular Operations Enhance Problem Solving?
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Random Number Generator, Lottery, and duplicats
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Is There Merit in Experimentation for Mathematical Discoveries?
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Algebra Texts - Hungerford vs. Lang
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Min number dependent columns in a matrix
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G is Finite and Closure Under Associative Product: Proving Group
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Linear Indepedence of Egienvectors and Jordon blocks
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Matrix algebra - matrix equation
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Complicated definitions of linear independence
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Revisiting Andrew Wiles' Proof of Fermat's Last Theorem: A Critical Analysis
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Checking for Prime Numbers: A Quick Guide
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Can we find the value of log(p) using the Chebyshev function?
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Can Column Deletion Create a New Linear Code?
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Finding units in polynomial quotient rings
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Congruence Question: Proving m=n (mod p-1)
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A question on Hilbert space theory
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Is A Required to Have Orthonormal Basis?
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Pi in Base 16 - special formula
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What Are Free Groups, Free Products, and Isomorphisms?
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What Makes Freely Indecomposable Groups Essential in Mathematics?
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Inner products and orthogonal basis
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Algorithms for quantifying intersections of subspaces
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Is x^2/y^2 an Ideal in the Ring F[x, y]?
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Sierpinski Spiral: An Intriguing Pattern of Prime Numbers
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Can the Poincare Conjecture Simplify 3D Objects for Mathematical Calculations?
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How to Find the Equation of a Parabola from Three Points?
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How is R4 space represented geometrically?
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Is it legitimate to treat matrices this way?
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Primorial: asymptotics and bounds
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Solving Upper Congruences: Step-by-Step Guide for x^{n}+a=mod(b)
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Tangent Vector Spaces: Clarifying Dimension and Interpretation
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Convergence of \psi(x)/x and \pi(x)/Li(x) to 1: How Fast?
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Show Automorphism Group Generated by s and t for \mathbb{Z} Graph
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Find all vectors in R^3 that are perpendicular to [1; 3; -1]
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Basis of set of skew symmetric nxn matrices
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Find Polynomial of Degree <2 to Satisfy (1, p), (2, q), (3, r)
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Proving gcd(rs , r + s)= 1: I'm in Over My Head!
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Understanding Abstract Algebra to Groups, Modules, and Representations
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Birthday Minimum to cover all 365 days
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What is the direct limit for a nested family of subobjects?
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Understanding the Adjoint of a Linear Transformation on an Inner Product Space
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Is the Trace Method the Key to Proving Ab-ba=i Has No Solution?
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Why are primes important in mathematics?
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Can the commutator subgroup of a free group have infinite index?
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The Formula for K-th Twin Prime - Is There One?
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Vague question about polar coordinate basis
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Simple question regarding formulae for power series
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How do you explain x+y+z=5 is a plane?
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Understanding the Integers Modulo n Groups in Abstract Algebra
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Divisibility of n by 7: Elementary Proof
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Parameter Within A Linear Equation Conjecture
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Why Does the von Mangoldt Formula Exhibit Discontinuities at Powers of Primes?
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Valid Methods for Proving Statements: Assumption and Contradiction
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Equivalent sets in different vector spaces?
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Is There a Way to Solve the Integral Equation for Pi(x) Numerically?
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What is the Proper Notation for Inductive Proofs with Multiple Variables?
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Question Regarding Goldbach's Conjecture
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Something i didn't know about polynomials
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