Module Specifications..
Current Academic Year 2023 - 2024
Please note that this information is subject to change.
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Repeat examination |
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Description This module provides an introduction to modern abstract algebra. In this module students will develop knowledge and skills in the basic algebraic structure of groups. The participants are expected to have a good knowledge of linear algebra and experience with the abstract approach to mathematics. Students are expected to attend lectures, participate in tutorials and take in-class tests. | |||||||||||||||||||||||||||||||||||||||
Learning Outcomes 1. Do basic computations in groups. 2. Compute structures of factor groups 3. Compute structures of abelian groups 4. Construct proofs of simple propositions | |||||||||||||||||||||||||||||||||||||||
All module information is indicative and subject to change. For further information,students are advised to refer to the University's Marks and Standards and Programme Specific Regulations at: http://www.dcu.ie/registry/examinations/index.shtml |
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Indicative Content and Learning Activities
GroupsDefinition, examples, basic propertiesSubgroupsDefinition, examples, classification of subgroups of cyclic groupsFactor groupsCosets, Lagrange's Theorem, normal subgroups, homomorphisms, factor groupsFinite abelian groupsDirect products, structure of finite abelian groups | |||||||||||||||||||||||||||||||||||||||
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Indicative Reading List
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Other Resources None | |||||||||||||||||||||||||||||||||||||||
Programme or List of Programmes
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Date of Last Revision | 26-JAN-12 | ||||||||||||||||||||||||||||||||||||||
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