Prove that if A is a subset of B, then .

Let

Can I just since |A| less than or equal to |B|, <A> is a subgroup of <B>?

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- October 9th 2011, 10:03 AMdwsmithA is a subset of B
Prove that if A is a subset of B, then .

Let

Can I just since |A| less than or equal to |B|, <A> is a subgroup of <B>? - October 10th 2011, 01:26 AMSwlabrRe: A is a subset of B
- October 10th 2011, 06:38 AMHallsofIvyRe: A is a subset of B
Frankly what you have written makes little sense. If A and B are

**sets**then " " is meaningless because there is no**operation**in a set. Apparently you are talking about**groups**, not sets. But even then you have to**define**<A>. You appear to mean a sub-group generated by a single element of the group but which element? Or are you assuming from the start that A and B are themselves generated by a single element? - October 10th 2011, 06:47 AMSwlabrRe: A is a subset of B