Question

Q. (i) what is P-group?
(ii) Define order of P-group.

Answer 1

Answer on Question #60413 – Math – Abstract Algebra

Question

(i) What is $P$-group?

(ii) Define order of $P$-group.

Solution

(i) $P$-group is a group in which each element has a power of $p$ as its order, where $p$ is a prime number.

(ii) If $P$-group is infinite then its order is infinity.

If $P$-group is finite then its order is a power of $p$.

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