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Abstract Algebra
Suppose that G is a group of order 60. What are the possible orders of a subgroup
H ≤ G?
H ≤ G?
Abstract Algebra
Assume that G is a finite group, and that there exist g,h are element of G, g doesnt equal h, such that order(g)=p, order(h)=q, where p and q are distinct primes. What can be concluded about |G|?
Abstract Algebra
Assume that G is a group, H is a subgroup of G, |H|=6, [G:H]>4 and |G|<50. What can be concluded about |G|?
Abstract Algebra
Assume that (G,*) is a group, and that |G|=p, where p is prime. Prove that G is cyclic.
Abstract Algebra
Write out a complete Cayley table for D3.is D3 abelian?
Abstract Algebra
Express the following as a product of disjoint cycle. Check them for being even or odd permutation and find the inverse of each of them in S7
1. (1 4 7) (2 6 5) (2 4 1) (5 6 7)
2. (7 1) (2 6 5) (2 4 1) (7 5 6)
1. (1 4 7) (2 6 5) (2 4 1) (5 6 7)
2. (7 1) (2 6 5) (2 4 1) (7 5 6)
Abstract Algebra
Express the following permutation in S7 in two line notation
(1 4 7) ( 2 6 5)
(1 4 7) ( 2 6 5)
Abstract Algebra
If R is noetherian and I is a ideal show that R/I is noetherian.
Abstract Algebra
Direct sum of neotherian module's is neotherian
Abstract Algebra
https://www.chegg.com/homework-help/questions-and-answers/d4-find-elements-x-x-3-v-x-3-r90-x-3-r0-x-2-r0-x-2-h-dy-dihedral-group-order-8-dy-r0-r90-r-q14939929
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#339914 on Dec 2023
#339914 on Dec 2023