What Is the Smallest Normal Subgroup of a Group Containing a Given Subset?

Thread starter norajill
Start date May 20, 2008
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The discussion centers on proving the existence of the smallest normal subgroup of a group G that contains a non-empty subset X. Participants emphasize the need for a formal proof to establish this concept. Additionally, there is a query regarding the terminology used for this smallest normal subgroup. The conversation highlights the importance of both understanding definitions and demonstrating proof attempts in group theory. Overall, the focus is on the mathematical principles surrounding normal subgroups and their properties.

May 20, 2008

norajill

1) Let X be anon empty subset of a group G .prove that there is a smallest normal subgroup of G containing X
ii)what do we call the smallest normal subgroup of G containing X

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May 20, 2008

Dick

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If you want to know what something is called, I think you should look it up. If you want to know how to prove something, you should show us at least an attempt.

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