The hottest Group Theory Substack posts right now

And their main takeaways
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Top Science Topics

A polynomial with Rubik’s cube symmetry

A Piece of the Pi: mathematics explained • 78 implied HN points • 25 Nov 24
🔬 Science Mathematics Symmetry Group Theory
  1. Rubik’s Cube has a huge number of ways it can be scrambled, around 43 quintillion, which shows its interesting symmetry in math. It can be thought of as not just a puzzle, but a complex mathematical object.
  2. There are specific rules about how the pieces of the Rubik’s Cube can be rearranged, which creates a lot of interesting patterns and symmetries. This helps mathematicians understand how groups of movements relate to each other.
  3. Recent research has shown that it's possible to find polynomials that have the same symmetries as the Rubik’s Cube. This connects the world of puzzles to deeper mathematical concepts, making it a fun area to explore.

Picturing symmetry

A Piece of the Pi: mathematics explained • 24 implied HN points • 04 Mar 24
🔬 Science Symmetry Mathematics Group Theory
  1. The order in which symmetries are applied can significantly affect the final result, as shown through reflections and rotations of a square.
  2. Using Cayley graphs can help visualize and calculate products of symmetries.
  3. In symmetry operations, combining reflections and rotations follows specific rules, similar to adding odd and even numbers. Grouping rotations and reflections can simplify understanding complex symmetries.

Tips for new community members

Quantum Formalism • 39 implied HN points • 09 Mar 22
🚌 Education Mathematics Physics Geometry Topology Group Theory
  1. Start with the 'Foundation Module' YouTube playlist for basics on finite-dimensional Hilbert spaces and quantum mechanics postulates
  2. Consider auditing crash courses on topics like Topology & Differential Geometry for Lie Groups and Group Theory for advanced knowledge
  3. Exploring topics like smooth manifolds and Group Theory can be valuable not just in quantum computation but also in applied fields like ML and Cryptography

Group Theory Application Webinar Reminder

Quantum Formalism • 19 implied HN points • 23 Mar 22
🔬 Science Group Theory Applications Webinar Symmetry
  1. Don't miss the Group Theory application webinar today at 5pm GMT with Owen Tanner from Glasgow University.
  2. Register for Lecture 03 on the abstract notion of a 'zero element' at [https://www.crowdcast.io/e/group-theory-lecture-03](https://www.crowdcast.io/e/group-theory-lecture-03).
  3. Join the Discord community at [https://discord.gg/SPcmcsXMD2](https://discord.gg/SPcmcsXMD2) for group study sessions and interactions.

Linear Algebra Is Not Enough!

Quantum Formalism • 59 implied HN points • 01 Jun 20
🔬 Science Mathematics Quantum Mechanics Functional Analysis Topology Group Theory
  1. Linear Algebra is foundational in quantum mechanics but may not be enough if dealing with infinite-dimensional Hilbert spaces.
  2. To fully understand quantum mechanics, one needs to delve into Functional Analysis along with other mathematical branches like Topology, Measure Theory, and Group Theory.
  3. The newsletter focuses on explaining the mathematical formalism of quantum mechanics through easily understandable posts on relevant topics.
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Late start today (Group theory)!

Quantum Formalism • 0 implied HN points • 12 Aug 22
🚌 Education Group Theory
  1. Today's session on Group theory is delayed by one hour due to a last-minute work commitment.
  2. Registration to attend the session can be found at https://www.crowdcast.io/c/group-theory-lecture-12.
  3. If you miss the live session, a recording will be uploaded on the YouTube playlist later tonight or Monday.

Lecture 08 Invitation

Quantum Formalism • 0 implied HN points • 01 Jun 22
🚌 Education Group Theory Community YouTube
  1. The lecture covers key concepts in group theory and their applications like cyclic groups in the Diffie-Hellman key exchange protocol.
  2. If you missed any live sessions, recordings are available on a YouTube playlist for catch-up.
  3. Join the Discord community for group study sessions and stay updated by following the company's LinkedIn and Twitter accounts.

Lecture 06 Reminder

Quantum Formalism • 0 implied HN points • 06 May 22
🚌 Education Lecture Group Theory
  1. The lecture is about group theory and includes a crash course on cyclic groups.
  2. The pace of the challenges and abstraction levels will increase in upcoming sessions.
  3. Future topics may cover the Discrete Logarithm Problem and the Diffie-Hellman key exchange using cyclic groups.

Group Theory Crash Course

Quantum Formalism • 0 implied HN points • 23 Feb 22
🚌 Education Group Theory
  1. A Group Theory Crash Course is being offered by the Zaiku Group team on Feb 23, 2022.
  2. The registration for Lecture #1 is now open, and the live session will be held this coming Friday at 5pm GMT.
  3. If you're unable to attend the live session, the recording will be available on their YouTube playlist for later viewing.

Influential Mathematicians:  Évariste Galois

Quantum Formalism • 0 implied HN points • 08 Sep 20
🔬 Science Mathematics Quantum Mechanics Group Theory Biography
  1. Evarist Galois developed Galois Theory, revolutionizing abstract algebra, despite facing personal struggles and tragedy in his life.
  2. Group Theory, inspired by Galois' work, plays a crucial role in quantum formalism, with concepts like unitary operators forming a group structure.
  3. Although Galois didn't directly contribute to quantum formalism, his mathematical legacy continues to influence and shape modern mathematical frameworks.

A Whirlwind Tour of Galois Theory

Thái | Hacker | Kỹ sư tin tặc • 0 implied HN points • 06 Nov 15
🔬 Science Algebra Group Theory
  1. Learning complex mathematical theories like Galois Theory can be accessible and engaging through practical problem-solving and exploring related topics.
  2. Understanding the concepts and applications of field extensions and automorphisms is crucial in grasping the fundamental ideas of Galois Theory.
  3. Galois Theory provides powerful tools to solve mathematical problems, such as finding the minimal polynomial with specific roots, and has practical implications in fields like cryptography.

Đường đến Galois

Thái | Hacker | Kỹ sư tin tặc • 0 implied HN points • 04 Nov 15
🔬 Science Mathematics Algebra Group Theory
  1. When working with polynomial equations with complex roots, Galois theory provides a powerful tool to understand and solve them.
  2. Field extensions, such as adding roots of numbers to the rational field, play a key role in finding all roots of a polynomial.
  3. Galois theory reveals the importance of group theory in understanding the symmetries and roots of polynomial equations.

How soon would you like to wrap up the group theory course?

Quantum Formalism • 0 implied HN points • 01 Nov 22
🚌 Education Group Theory Lectures Survey
  1. The group theory crash course is wrapping up soon, with only three lectures left to go.
  2. There are two options for wrapping up the course: November 25 with weekly lectures or December 9 with the current biweekly schedule.
  3. In the final lectures, there will be coverage of group representation theory to provide a preview before the Lie Groups & Representations course.

Group theory session 20 invitation.

Quantum Formalism • 0 implied HN points • 08 Dec 22
🚌 Education Group Theory Crash course Certificates Quantum Computing Meetup
  1. The group theory crash course is ending with session 20 covering group representations and unitary representations
  2. Certificates of completion will be issued to participants of the nearly year-long journey
  3. A new meetup has been started by a community member to study the applied aspects of quantum computing, emphasizing programming