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EXERCISES IN ALGEBRA: A Collection of Exercises in Algebra, Linear Algebra and Geometry
Part III
Basic Algebraic Structures
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831
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69%
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On this page
▸
XIII · Groups
▸
XIV · Rings
▸
XV · Elements of representation theory
Chapter XIII
Groups
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351
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75%
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Section 54
Algebraic operations. Semigroups
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9
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67%
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Section 55
Concept of a group. Isomorphisms of groups
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38
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55%
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Section 56
Subgroups. Orders of elements of groups. Cosets
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44
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68%
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Section 57
Action of a group on a set. Relation of conjugacy
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46
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83%
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Section 58
Homomorphisms and normal subgroups. Factorgroups and centers
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52
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77%
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Section 59
Sylow subgroups. Groups of small orders
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27
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96%
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Section 60
Direct products and direct sums. Abelian groups
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69
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75%
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Section 61
Generators and defining relations
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37
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78%
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Section 62
Solvable groups
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29
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79%
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Chapter XIV
Rings
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290
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75%
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Section 63
Rings and algebras
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31
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71%
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Section 64
Ideals, homomorphisms, factor-rings
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96
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70%
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Section 65
Special classes of algebras
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18
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72%
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Section 66
Fields
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48
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65%
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Section 67
Extensions of fields. Galois theory
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81
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85%
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Section 68
Finite fields
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16
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94%
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Chapter XV
Elements of representation theory
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190
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50%
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Section 69
Representations of groups. Basic concepts
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31
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42%
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Section 70
Representations of finite groups
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52
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37%
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Section 71
Group algebras and their modules
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50
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42%
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Section 72
Characters of representations
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44
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70%
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Section 73
Initial information on representations of continuous groups
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13
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85%
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