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· 1-5 · 6-10 · 11-15 · 16-20 · 21-25 · 26-30 · 31-35 · 36-40 · 41-45 · 46-50 · 51-55 ·Modern/Abstract Algebra Problem (Group Theory)
What is the number of different conjugated classes of elements of order 2 in S_5.
Subject:
Math
Topic:
Group Theory
Posting ID:
8414
OTA ID:
101536
Modern/Abstract Algebra Problem (Group Theory)
What are the normal subgroups in S_4?
Subject:
Math
Topic:
Group Theory
Posting ID:
8415
OTA ID:
103139
Modern/Abstract Algebra Problem (Group Theory)
What are the normal subgroups in S_4? I would appreciate it if someone could also give a thourough explanation of how they came up with the answer.
Subject:
Math
Topic:
Group Theory
Posting ID:
8419
OTA ID:
103300
Trigonometry: Addition Theorems
Please see the attached file for the fully formatted problems. Deduce the addition theorems for trigonometric functions: cos (x ± y) = cosx cosy sinx siny; sin (x ± y) = sinx cosy ± cosx siny as the simplest consequence of the representation of a complex plane’s rotational group.
Subject:
Math
Topic:
Group Theory
Posting ID:
9007
OTA ID:
103860
Describe all nonisomorphic central extensions of Z_n by Z_2 x Z_2 meaning central group extensions of the following form 1 --> Z_n --> G --> Z_2 x Z_2 --> 1 Meaning, determine those nonisomorphic groups G that can be described by such an extension. Please also explain how you came up with the answer.
Subject:
Math
Topic:
Group Theory
Posting ID:
9176
OTA ID:
101421
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