Orlin Stoytchev

activity

20092023

S O (n)

Via Quotients of Braid Groups

1 citations · 2 across the 5 of their papers we have counts for

collaborators

5 papers

math.HO2023

Topology of SO(3) For Kids

Orlin Stoytchev

We present a simple visual description of the topology of the space of three-dimensional rotations, requiring just intuition, imagination and no advanced math.

math.GR2020

A Class of Efficient Presentations of Finite Simple Groups

Orlin Stoytchev

We exhibit a new presentation of the (equilateral) Von Dyck groups $D (2, 3, n), n \geq 3$ , in terms of two generators of order $n$ satisfying three relations, one of which is Artin's…

math.HO2017★ 1 cited

From Foucault's Pendulum to the Gauss--Bonnet Theorem

Orlin Stoytchev

We present a self-contained proof of the Gauss-Bonnet theorem for two-dimensional surfaces embedded in $R^{3}$ using just classical vector calculus. The exposition should be accessib…

math.HO2016★ 1 cited

The Fundamental Group of $S O (n)$ Via Quotients of Braid Groups

Ina Hajdini, Orlin Stoytchev

We describe an algebraic proof of the well-known topological fact that $π_{1} (S O (n)) ≅ Z /2 Z$ . The fundamental group of $S O (n)$ appears in our approach as the center of a certain…

math.GT2009

A Note on Topologically-Trivial Braids

Orlin Stoytchev

We give a simple characterization of braids that can be unplaited keeping separately their upper ends and their lower ends tied together

Topology of SO(3) For Kids

A Class of Efficient Presentations of Finite Simple Groups

From Foucault's Pendulum to the Gauss--Bonnet Theorem

The Fundamental Group of SO(n) Via Quotients of Braid Groups

A Note on Topologically-Trivial Braids

The Fundamental Group of $S O (n)$ Via Quotients of Braid Groups