4 Answered Questions for the topic Group Theory

Group Theory Algebra 2 Discrete Maths

11/26/20

Showing elements are self-inverse

Hi,I need help show algebraically that this is true. If G is a finite group and an element x has order 3 and element y has order 2. Show that ifyx=x2y then elements xy and x2y are both... more
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Group Theory

06/06/18

Group theory
Let G be any abelian group and π : G → G a group homomorphism satisfying π2 = π (i.e. π(π(x) = π(x) for all x ε G). Show that G is the internal direct sum of ker π and Im π.
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Group Theory

11/04/17

Could you explain me the axiom of choice?
just that, What's the axiom of choice, and how it works?
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Group Theory

09/21/17

define a binary operation on Z which is neither addition nor subtraction nor multiplication
define a binary operation on Z which is neither addition nor subtraction nor multiplication.
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