Permutation Group (Sn) | Group Theory Lecture 12 (III) by Dubey Sir | CSIR NET Math | IIT JAM Math

In Lecture 12 (Part 3) of the Group Theory series, Dubey Sir explores the Permutation Group (Sn). This lecture breaks down key concepts, provides step-by-step explanations, and showcases real-world applications in mathematics and cryptography. Whether you're preparing for CSIR NET, IIT JAM, or GATE, or just strengthening your algebraic foundation, this video is a must-watch! Hope you like these Learning Videos! Want to study with 𝐃𝐔𝐁𝐄𝐘 𝐒𝐈𝐑 LIVE? ▶️ Join our CSIR NET, IIT JAM, or GATE Math course - https://bit.ly/join-our-courses 📕 Buy Books for CSIR NET, IIT JAM, & GATE - https://bit.ly/DIPS-Book 𝗟𝗲𝗰𝘁𝘂𝗿𝗲: 12 (Part 03) 🔗 Playlist Link: https://www.youtube.com/playlist?list=PLg4t3mXO3Rdt2oWHKuvmq88xyCA3Ak2ok 📚 Topics Covered: 1. Permutation Group (Sn) 2. Cycle in Sn Group 3. Disjoint Cycles in Sn ▶️ Join our CSIR NET, IIT JAM, or GATE Math course - https://bit.ly/join-our-courses 📕 Buy Books for CSIR NET, IIT JAM & GATE - https://bit.ly/DIPS-Book JOIN our 𝐎𝐅𝐅𝐋𝐈𝐍𝐄/𝐎𝐍𝐋𝐈𝐍𝐄 𝐛𝐚𝐭𝐜𝐡𝐞𝐬 for 𝐂𝐒𝐈𝐑 𝐍𝐄𝐓, 𝐈𝐈𝐓 𝐉𝐀𝐌 or 𝐆𝐀𝐓𝐄 𝐌𝐚𝐭𝐡𝐬 ▶️ CSIR NET Maths Course - https://bit.ly/csir-net-math-course ▶️ IIT JAM Maths Course - https://bit.ly/IIT-JAM-Math-Course ▶️ IIT JAM Stats Course - https://bit.ly/IIT-JAM-Stats-Course ▶️ GATE Maths Course - https://bit.ly/GATE-Maths-Course ▶️ Assistant Professor Course - https://bit.ly/state-psc-asst-math 𝐀𝐯𝐚𝐢𝐥𝐚𝐛𝐥𝐞 𝐎𝐟𝐟𝐞𝐫 🔊 Discount on Courses & Video Lecture - https://bit.ly/Grab-or-Gone-offer 🔊 Discount on Test Series - https://bit.ly/discount-on-test-series 𝐕𝐢𝐝𝐞𝐨 𝐋𝐞𝐜𝐭𝐮𝐫𝐞 & 𝐒𝐭𝐮𝐝𝐲 𝐌𝐚𝐭𝐞𝐫𝐢𝐚𝐥𝐬 ▶️ Video Lecture & Study Materials - https://bit.ly/DLP-Program ▶️ CSIR NET Video Lecture - https://bit.ly/csirnet-video-lecture ▶️ IIT JAM Maths Video Lecture - https://bit.ly/48YNat8 ▶️ CSIR NET with GATE Video Lecture - https://bit.ly/net-gate-video-lecture 𝐁𝐨𝐨𝐤𝐬 📕 Buy Books for CSIR NET, IIT JAM & GATE - https://bit.ly/DIPS-Book 📕 CSIR NET Maths PYQ Book Vol 1 (Pure Maths) - https://bit.ly/csirnet-pyq-book-vol-1 📕 CSIR NET Maths PYQ Book Vol 2 (Applied Maths) - https://bit.ly/csirnet-pyq-book-vol-2 📕 IIT JAM Maths PYQ Book - https://bit.ly/IIT-JAM-Maths-PYQ-Book --------------------------------------------------------------------------- SUBSCRIBE to Our CHANNEL for LEARNING VIDEOS: https://www.youtube.com/c/DipsAcademyOfficial?sub_confirmation=1 --------------------------------------------------------------------------- 🎁 Download the DIPS Academy App: https://bit.ly/Dips-Academy-App 👉 More Information 📞 Call at +91 9999183434 🌐 Website: https://www.dipsacademy.com 📧 Email: [email protected] --------------------------------------------------------------------------- This video is about; How many permutations are there in SN? What is a cycle in group theory? What are disjoint cycles in group theory? How do you find the disjoint cycle? How many k-cycles are there in SN? Is SN generated by 2 cycles? What is the group of SN? Is SN an Abelian group? Is SN a cyclic group? What is the set S_N? permutations - Cycle structure in a symmetric group Can every permutation in SN be written as the product of disjoint cycles? What is a permutation of a set symmetry of a set Bidirectional Relationship Order Matters Reflexive vs. Symmetric Symmetric relation Symmetric relation example Equivalence Relations Symmetry on a set example Symmetry on a set formula Symmetric relation in Group Theory Group Subgroup quotient group Subset of a group Index of a subgroup One-Step Subgroup Test Two-Step Subgroup Test Finite subgroup Test Subgroup Test Examples One-step subgroup test example Subgroup generated by a set Subgroup generated by a subset Subgroup generated by an element, for example Normal subgroup generated by an element order of a group and order of an element Group Theory Lecture by Dubey Sir Group Theory Lecture for BSc Group Theory Lecture for MSc Group Theory Lecture for Free Group Theory Videos by Dubey Sir Modern Algebra CSIR NET Mathematics IIT JAM Math Group Theory Lecture for BSc Third Year Group Theory Lecture for CSIR NET Group Theory Lecture for IIT JAM Best Math YouTube Channels Group Theory Lectures for GATE Maths How to start the preparation for the CSIR Net mathematics dips coaching classes Learn Abstract Algebra Online Mathematical Groups and Their Properties ******************************************** #permutations #disjointsets #cycles #reflexivity #transitivity #grouptheory #mathematics #abstractalgebra #csirnet #iitjam #gateexam #coaching #guidance #preparation #dubeysir #preparewithdipsacademy #howtocrackcsirnetmathematics