Ques-1-Let-G-C-5-C-25-C-625-Determine-the-number-of-elements-of-each-order-in-G-Ques-2-List-the-abelian-groups-of-order-16-and-of-order-27-up-to-Isomorphism-Ques

Question Number 194058 by Mastermind last updated on 27/Jun/23

Ques . 1

Let G = C_{5} \times C_{25} \times C_{625} . Determine

the number of elements of each order in G

Ques . 2

List the abelian groups of order 16

and of order 27 up to Isomorphism .

Ques . 3

Describe a Sylow 2 - subgroup in S_{5},

and how many Sylow 2 - subgroups are

in S_{5} ?