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Posted Date: 16 Jan 2020      Posted By:: Shouvik Maj    Member Level: Silver  Points: 3 (₹ 2)

2019 Jadavpur University Jadavpur University B.Sc Mathematics- Group Theory (First Year First Semester) -2019 Question paper



Course: B.Sc Mathematics   University/board: Jadavpur University

Worried with from where to get University level previous year question papers? You are at the right place. We have provided the previous year question paper of 2019 for Group Theory of Jadavpur University B.Sc Mathematics Honours.



{Please scroll below to see the PDF file Attachment link of the original question paper}

Full marks : 50
Total Time : 2 Hours

Syllabus
UNIT - 1
Symmetries of a square, dihedral groups, definition and examples of groups including
permutation groups and quaternion groups (through matrices), elementary properties of groups.
UNIT – 2
Subgroups and examples of subgroups, centralizer, normalizer, center of a group, product of two
subgroups.
UNIT - 3
Properties of cyclic groups, classification of subgroups of cyclic groups. Cycle notation for
permutations, properties of permutations, even and odd permutations, alternating group,
properties of cosets, Lagrange's theorem and consequences including Fermat's Little theorem.
UNIT – 4
External direct product of a finite number of groups, normal subgroups, factor groups, Cauchy's
theorem for finite abelian groups.
UNIT – 5
Group homomorphisms, properties of homomorphisms, Cayley's theorem, properties of
isomorphisms. First, Second and Third isomorphism theorems.



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