## Details of MA3102 (Autumn 2016)

Level: 3 |
Type: Theory |
Credits: 3.0 |

Course Code | Course Name | Instructor(s) |
---|---|---|

MA3102 |
Algebra I |
Somnath Basu |

Syllabus |
---|

MA3102 : Algebra I
1. Definition of groups, subgroups, group homomorphisms and isomorphisms, normal subgroups, quotient groups. 2. Lagranges theorem, Isomorphism theorems, direct sum of Abelian groups, direct products. 3. Group actions, conjugacy classes, orbits and stabilizers, class equations. 4. Symmetric groups, simple groups, solvable groups. 5. Sylows theorems. 6. Classification of finitely generated Abelian groups. |

References |
---|

Suggested Text/Reference Books:
1. Artin, M., Algebra, Prentice Hall, 1996. 2. Dummit, D. S. and Foote, R. M., Abstract Algebra (2nd Edition), Wiley (Student Edition), 2005. 3. Fraleigh, J. B., A First Course in Abstract Algebra (3rd Edition), Narosa Publishers, 1999. 4. Gopalakrishnan, N. S., University Algebra, New Age International, 1998. 5. Herstein, I. N., Topics in Algebra (3rd Edition), Wiley (Student Edition), 2006. 6. Hungerford, T. W., Algebra (2nd Edition), Graduate Texts in Mathematics, Volume 73, Springer-Verlag, 2003. 7. Musili, C., Introduction to Rings and Modules, Narosa Publishers, 1999. 8. Sen, M. K., et al., Topics in Abstract Algebra (2nd Edition), Universities Press, 2006. |

#### Course Credit Options

Sl. No. | Programme | Semester No | Course Choice |
---|---|---|---|

1 | IP | 1 | Core |

2 | IP | 3 | Not Allowed |

3 | IP | 5 | Not Allowed |

4 | MR | 1 | Not Allowed |

5 | MR | 3 | Not Allowed |

6 | MS | 5 | Core |

7 | RS | 1 | Not Allowed |

8 | RS | 2 | Not Allowed |