1. Let (G, *) be a finite group of order n. Then (a). Let n = pq (p, q are a prime numbers) and let H, K ≤ G (unique subgroups) such that |H| = p, |K| = q. Then G is cyclic group. (b). If n = ph (p is a prime number, and he Z+), then G has an

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
icon
Related questions
Question
i need the answer quickly
1. Let (G, *) be a finite group of order n. Then
(a). Let n = pq (p, q are a prime numbers) and let H, K≤ G (unique
subgroups) such that |H| = p, |K| = q. Then G is cyclic group.
(b). If n = ph (p is a prime number, and he Z+), then G has an
BL
akh
U...
Lo...
matics
Mux
element of order p.
Transcribed Image Text:1. Let (G, *) be a finite group of order n. Then (a). Let n = pq (p, q are a prime numbers) and let H, K≤ G (unique subgroups) such that |H| = p, |K| = q. Then G is cyclic group. (b). If n = ph (p is a prime number, and he Z+), then G has an BL akh U... Lo... matics Mux element of order p.
Expert Solution
steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,