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This follows immediately from the first Sylow theorem.

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Q: Show that if G is a finite group with identity 'e' and with an even number of elements then there is 'a' not equal 'e' in G that xx equal 'e'?
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Is Closed interval finite?

Assuming its endpoints are not equal, a closed interval of the real number line a has an infinite number of real numbers in it. Closed intervals of other ordered sets can have either a finite or an infinite number of elements. I am not sure I answered your question because I am not exactly sure what you are asking. Could you be more specific? Are you talking about a closed interval of the real number line or closed interval of some other ordered set? By finite do you mean 'containing a finite number of elements' or do you mean 'bounded by a finite number'.


Cartesian product of sets A and B is finite then does it follow that A and B are finite?

The number of elements in a Cartesian product is equal to the product in the number of elements of each set. The idea of a Cartesian product is that you combine each element from set A with each element from set B. If the product set (the Cartesian product) of sets A and B has a finite number of elements, this may be due to the fact that both A and B are finite. However, there is another possibility: that one of the sets, for example, set A, has zero elements, and the other is infinite. In this case, the Cartesian product would also have zero elements.


What number is multiplicative identity and why?

The number 1 is the multiplicative identity. What this means is that if you multiply a number by 1, that number is unchanged (the result is equal to the original number).


What is the definition of Identity Property of Multiplication?

The Identity Property of Multiplication means multiplying a number by 1 will equal that number. The value will not change.


Is The identity of an element is determined by the number of protons?

Yes, it is true, the number of protons is equal to atmic number.


What ia a additive identity?

The additive identity is 0. The identity in a mathematical operation is the value that when the operation is performed, does not change the original value of the other operand. The additive identity is the number that, when added to another number, returns a value equal to the other number.


In periodic table of elements it is equal to the number of protons in the nucleus.?

The atomic number is equal to the number of protons in the nucleus.


Why does the number of elements in your body not equall 100 percent?

The number of elements in your body is not a percentage. It is a number. And equal has one "l".


What relationship can you find between the the number of lines of symmetry?

The relationship is one of identity. The number of lines of symmetry for any object, are always identically equal to the number of lines of symmetry for that same object.The relationship is one of identity. The number of lines of symmetry for any object, are always identically equal to the number of lines of symmetry for that same object.The relationship is one of identity. The number of lines of symmetry for any object, are always identically equal to the number of lines of symmetry for that same object.The relationship is one of identity. The number of lines of symmetry for any object, are always identically equal to the number of lines of symmetry for that same object.


What is the identity property of Division?

The identity property of division simply states that any number divided by one is equal to the original number. Mathematically: x/1 = x


Why circle is divide into equal triangles?

It cannot be, since no finite number of triangles can result in a smooth curve of the circumference.


Is 3.4567891011 rational?

Yes. Any number that can be expressed with a finite or repeating set of decimals is a rational number. In this case it is equal to 34567891011 / 10000000000