| CODE | MAT3115 | ||||||||
| TITLE | Groups | ||||||||
| UM LEVEL | 03 - Years 2, 3, 4 in Modular Undergraduate Course | ||||||||
| MQF LEVEL | 6 | ||||||||
| ECTS CREDITS | 4 | ||||||||
| DEPARTMENT | Mathematics | ||||||||
| DESCRIPTION | - Groups acting on finite sets: the orbit-stabiliser theorem; - Conjugacy; - Strong form of Cayley's theorem; - Sylow’s theorems; - Application to the classification of groups of low order; - Automorphisms; - Permutation groups; - Burnside’s counting theorem. Main Text - Ledermann W. and Weir A.J., Introduction to Group Theory, Addison-Wesley Longman, 2nd Edition, 1996. Supplementary Reading - Armstrong M.A., Groups and Symmetry, Springer Verlag, Heidelberg, 1997. - Biggs N.L., Discrete Mathematics, Oxford Science Publications, Clarendon Press, 1989. - Herstein I.N., Topics in Algebra, Wiley, 3rd Edition, 1996. |
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| ADDITIONAL NOTES | Follows from: MAT1115 Leads to: MAT3116 |
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| STUDY-UNIT TYPE | Lecture | ||||||||
| METHOD OF ASSESSMENT |
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| LECTURER/S | Josef Lauri |
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The availability of optional units may be subject to timetabling constraints. Units not attracting a sufficient number of registrations may be withdrawn without notice. It should be noted that all the information in the description above applies to study-units available during the academic year 2024/5. It may be subject to change in subsequent years. |
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