can somebody recommend a book in a group theory.

Question

can somebody recommend a book in a group theory. that include just questions and their answers. $without$ $theory!$

Answer 1

I would recommended two books. First, if you are looking elementary questions, then you should look at this "A Course on Group Theory " by John Rose. Second, if you are looking advanced questions, then you should look at "Problems in Group Theory" by John Dixion.

Answer 2

I would recommend Theory of Groups by Rotman if you wanted a book with theory but since you want questions&answers Schaum's Outline of Group Theory.

Answer 3

If you just need practice, I wrote a set of group theory exercises as extra exercises for an algebra course recently. These can be found at http://pure.au.dk/portal/files/56984875/exercises.pdf
There are no solutions in that set though (but most will either have been asked here or if they have not, people will almost certainly be able to provide help if you ask about them).

Answer 4

Actually, there is such a book. Yaglom's Geometric Tansformations is a classic text which basically makes you answer lots of questions as opposed to simply presenting the theory to you. The answers are at the back of the English version.

However, this text is not a classic group theory book. It is about one facet of group theory - isometries - rather than the theory as a whole.

Interesting point: it was translated into English from the original Russian as part of the "New Math" course in the United States, which was meant as a way of getting the maths level of the USA in line with that of Russia. So this is a school book. However, the Russians said that they would never, ever, under any circumstances, base a school course on this book. The problems in this book are not exactly easy...

Answer 5

Well I guess you should read "Algebra by Artin".