Does anybody know if there exists a list of the four dimensional Bieberbach groups presented by generators and relations on the web?. I know there exists the book Crystallographic Groups of Four-Dimensional Space by Brown, Bulow and Neubuser, but I do not have it at the moment.
2026-03-27 19:51:43.1774641103
Classification of Bieberbach groups
574 Views Asked by user6163 https://math.techqa.club/user/user6163/detail AtRelated Questions in GROUP-THEORY
- What is the intersection of the vertices of a face of a simplicial complex?
- Group with order $pq$ has subgroups of order $p$ and $q$
- How to construct a group whose "size" grows between polynomially and exponentially.
- Conjugacy class formula
- $G$ abelian when $Z(G)$ is a proper subset of $G$?
- A group of order 189 is not simple
- Minimal dimension needed for linearization of group action
- For a $G$ a finite subgroup of $\mathbb{GL}_2(\mathbb{R})$ of rank $3$, show that $f^2 = \textrm{Id}$ for all $f \in G$
- subgroups that contain a normal subgroup is also normal
- Could anyone give an **example** that a problem that can be solved by creating a new group?
Related Questions in REFERENCE-REQUEST
- Best book to study Lie group theory
- Alternative definition for characteristic foliation of a surface
- Transition from theory of PDEs to applied analysis and industrial problems and models with PDEs
- Random variables in integrals, how to analyze?
- Abstract Algebra Preparation
- Definition of matrix valued smooth function
- CLT for Martingales
- Almost locality of cubic spline interpolation
- Identify sequences from OEIS or the literature, or find examples of odd integers $n\geq 1$ satisfying these equations related to odd perfect numbers
- property of Lebesgue measure involving small intervals
Related Questions in GEOMETRIC-GROUP-THEORY
- Clarification of proof of generating set from fundamental domain
- Does $SL_2(\mathbb{Z}[\sqrt{2}])$ have a finite presentation?
- Making linear groups trivial by adding an equal number of generators and relations
- Is There any quasi-isomorphism between $\mathbb{R}$ and $\mathbb{R}^2$?
- Polynomially sized Folner sets
- Boundary $\partial F_n$ of a free group $F_n$
- Geodesic ray converges to infinity
- Boundary of the Hyperbolic plane homeomorphic to S1
- 3D representation of A4 that preserves the unit ball
- Finite index subgroups in Amalgamated Free products
Related Questions in GAP
- List Conjugacy Classes in GAP?
- Betti number and torsion coefficient
- How to create a group action on some group with GAP
- Minimal Permutation Representation Degree of a group: GAP implementation
- How to compute group cohomology $H^2_\sigma(\mathbb{Z}\times \mathbb{Z}, \mathbb{Z}_2\times \mathbb{Z}_2)$ with nontrivial $G$-module
- Lower bound for the order of a non-solvable primitive group of degree n
- Finite groups with 15 or 16 conjugacy classes
- Construct a semidirect product in GAP
- In GAP, How can I check whether a given group is a direct product?
- Maximal subgroup of a finite semigroup (GAP)
Related Questions in LOW-DIMENSIONAL-TOPOLOGY
- Getting a self-homeomorphism of the cylinder from a self-homeomorphism of the circle
- Does $S^2\times[-1,1]$ decompose as $B^3\#B^3$
- Homologically zero circles in smooth manifolds
- Can we really move disks around a compact surface like this?
- Why is this not a valid proof of the Poincare Conjecture?
- Regarding Surgery and Orientation
- Can a one-dimensional shape have volume?
- The inside of a closed compact surface $\sum_g$
- How do you prove that this set is open?
- Understanding cobordisms constructed from a Heegaard triple
Trending Questions
- Induction on the number of equations
- How to convince a math teacher of this simple and obvious fact?
- Find $E[XY|Y+Z=1 ]$
- Refuting the Anti-Cantor Cranks
- What are imaginary numbers?
- 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?
- How do we know that the number $1$ is not equal to the number $-1$?
- What are the Implications of having VΩ as a model for a theory?
- Defining a Galois Field based on primitive element versus polynomial?
- Can't find the relationship between two columns of numbers. Please Help
- Is computer science a branch of mathematics?
- 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
- Generator of inertia group in function field extension
Popular # Hahtags
second-order-logic
numerical-methods
puzzle
logic
probability
number-theory
winding-number
real-analysis
integration
calculus
complex-analysis
sequences-and-series
proof-writing
set-theory
functions
homotopy-theory
elementary-number-theory
ordinary-differential-equations
circles
derivatives
game-theory
definite-integrals
elementary-set-theory
limits
multivariable-calculus
geometry
algebraic-number-theory
proof-verification
partial-derivative
algebra-precalculus
Popular Questions
- What is the integral of 1/x?
- How many squares actually ARE in this picture? Is this a trick question with no right answer?
- Is a matrix multiplied with its transpose something special?
- What is the difference between independent and mutually exclusive events?
- Visually stunning math concepts which are easy to explain
- taylor series of $\ln(1+x)$?
- How to tell if a set of vectors spans a space?
- Calculus question taking derivative to find horizontal tangent line
- How to determine if a function is one-to-one?
- Determine if vectors are linearly independent
- What does it mean to have a determinant equal to zero?
- Is this Batman equation for real?
- How to find perpendicular vector to another vector?
- How to find mean and median from histogram
- How many sides does a circle have?