Abstract Algebra Yahoo Answers

Thank you for your help. Abstract algebra is a proof heavy course but the difficulty mainly lies in the abstractness understanding the concepts. I have no idea whats going on so i thought it might be useful to see how something like this is worked out.

Zp zp defined by f x x 2.

Abstract algebra yahoo answers. If g is an abelian group and contains cyclic subgroups of orders 4 and 6 what other sizes of cyclic subgroups must g contain. How do i solve for x. 1 show that q8 has 4 proper subgroups. Of course it depends on how well you can understand abstract concepts and how well it is explained to you.

Let h be a subgroup of a group g. I reckon you can expect a good deal of group theory perhaps a bit of rings and fields. Or it could be that this stuff is far too advanced. In the following all arithmetic will be done mod 25 unless.

2 square root of 50. Prove the following statements or give a counterexample. And ill use the theory i need but i wont give the proofs. If the element ah has order 3 in the group gh and lhl 10.

All right so here is my huge concern how do i do this. You are looking for all the generators of u25. Join yahoo answers and get 100 points today. 377 and express it as a linear combination of 435 and 377.

What are the possibilities for the order a. Y4 1 x2 y2 xy y3x. First lets find a generator or a primitive root mod 25. Previous answer for you here.

X2 10x 16 0. This is the first question in an abstract algebra book i just downloaded. One of order 2 and three of order 4. Let h be a normal subgroup of g and let a belong to g.

2 show that every subgroup of order 4 contains the subgroup of order 2. You can find them in any good number theory book. 3 prove that q8 is not a semidirect product of its proper. Let ab belong to g.

The quaternion group q8 is the set yi xj 0 i 3 0 j 1 with the law of composition given by the usual product and the relations. In that case i have a different question. A if ah bh then ha hb bif ha hb then b belongs to ha. A show that there is a zp such that a2 1 2 2.

Abstract algebra ring theory. C if ah bh then ha 1 hb 1a 1 is a inverse and b 1 is b inverse d if ah bh then a2h b2h. What is the value of pi. Anonymous asked in science mathematics mathematics 1 decade ago.

Let p 2 be a prime number.