Foundations of Abstract Algebra: Group Theory — PickAClass
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⏱ 3h 📚 30 lessons 🎧 Audio version

Foundations of Abstract Algebra: Group Theory

Understand core concepts of abstract algebra and apply them to solve mathematical problems.

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  • 🌐 In English
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About this course

Are you looking to build a strong understanding of abstract mathematical structures? This course provides a clear introduction to the fundamental principles of group theory. You will gain a solid grasp of abstract algebraic concepts and learn how to apply them systematically. What you'll learn: * Understand the definition and properties of groups, subgroups, and cyclic groups. * Explore concepts like homomorphisms, isomorphisms, and group actions. * Practice solving problems involving permutations and symmetry. * Grasp the significance of Lagrange's Theorem and its implications. * Learn to analyze cosets and normal subgroups. * Discover the structure of finite abelian groups. This course begins with essential definitions and builds progressively, covering key theorems and their applications through written exercises. It is designed for beginners with no prior background in abstract algebra required. Start your journey into abstract mathematics today.

What you'll get

  • 📜 Certificate of completion
    Add it to your LinkedIn profile
  • 💬 Personal AI tutor
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  • 🎧 Audio version included
    Learn on the go — no screen needed
  • ♾️ Lifetime access
    Come back anytime, no expiry
  • 📱 Phone or computer
    Works anywhere, any device
  • 💸 14-day refund
    No questions asked
  • ⚡ Short & focused
    3h of practical content

Certificate of completion

Every course you complete on PickAClass issues a credential like this — original, with its own code, verifiable by URL, and detailed about what was actually demonstrated.

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Certificate of Mastery
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Name Surname
has successfully demonstrated mastery of
Foundations of Abstract Algebra: Group Theory
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Decision-architecture frameworks
Proficient
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A/B test design
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Foundations of Abstract Algebra: Group Theory
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Performance detail
Coursework summary
Lessons completed 14 / 14
Practice questions 26 / 28
Assignments submitted 4 (avg 4.5 / 5)
Capstone project Reviewed — 4.6 / 5
Total practice 6.2 hrs
Performance benchmark
Cohort rank Top 12% of 1,625
Time to completion 11 days (median: 22)
Mastery score 91 / 100
Practice-question score 94%
Skill verification Verified Skill Path
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pickaclass.com/certificates/PCC-2026-X4F7-AP19
Issued under the academic standards of PickAClass. Skill levels reflect assessed performance against the course's competency rubric. This is an original credential of this platform.

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Frequently asked

What do I need to take this course? +

Just a phone or computer with internet. No installs, no special hardware.

How do I pay? +

By card via Stripe. We don’t store card details — Stripe handles them securely.

Can I get a refund? +

Yes — full refund within 14 days, no questions asked.

How long will I have access? +

Forever. Once you purchase, the course is yours to revisit anytime.

Will I get a certificate? +

Yes. On completion you'll receive a certificate you can add to your LinkedIn profile.

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