Every group of prime order is cyclic

Reference no: EM13125770

Modern Algebra

Group Theory (XVIII)

Relation between Cyclic Group and Abelian Group

If G is a finite group whose order is a prime number p, then G is a cyclic group. Or, Every group of prime order is cyclic. Or, Every group of prime order is abelian.

Reference no: EM13125770

Questions Cloud

Define what is the concentration of la : Given that the solubility product for La(IO3)3 is 1.0 x 10-11, what is the concentration of La3+ in a saturated solution of lanthanum iodate?

What are the assumptions that must be met about her data : What are the assumptions that must be met about her data before she can correctly use an independent t-test to test the hypotheses? Why? How would she see if her data meet these assumptions? How much room does she have to violate any of these assumpt..

Why is it important to distinguish debt cancellation : Why is it important to distinguish debt cancellation from a gift, bequest, or renegotiation of a purchase price?

Calculate the the equilbrium constant : At a certain temperature the equilbrium constant is 396 K for H2(g) + I2(g) ↔ 2HI(g) , Calculate the the equilbrium constant for 0.5H2(g) + 0.5I2(g) ↔ HI(g)

Every group of prime order is cyclic : Relation between Cyclic Group and Abelian Group. If G is a finite group whose order is a prime number p, then G is a cyclic group. Or, Every group of prime order is cyclic. Or, Every group of prime order is abelian.

Connection between the novels : The Connection between the novels A moveable feast and Where Good ideas come from

Estimate the total cost to manufacture : Given this data what is the best estimate of the total cost to manufacture 8,900 units is closest to what amount?

Calculate average hours of sleep per night for each sample : Calculate the average hours of sleep per night for each sample. According to the 95 part of the 68-95-99.7 rule, 95% of all values of fall within __________ on either side of the unknown mean . What is the missing number?

Hypotheses and operationalize : A small suburb of a large metropolitan area has implemented a neighborhood watch program. The mayor has asked you to determine if the program is having any effect on complaints received about suspicious behavior

User Account

All Pages