How Long to Read Group Rings and Class Groups

How Long Does it Take to Read Group Rings and Class Groups?

It takes the average reader 3 hours and 30 minutes to read Group Rings and Class Groups by K.W. Roggenkamp

Assuming a reading speed of 250 words per minute. Learn more

Description

The first part of the book centers around the isomorphism problem for finite groups; i.e. which properties of the finite group G can be determined by the integral group ring ZZG ? The authors have tried to present the results more or less selfcontained and in as much generality as possible concerning the ring of coefficients. In the first section, the class sum correspondence and some related results are derived. This part is the proof of the subgroup rigidity theorem (Scott - Roggenkamp; Weiss) which says that a finite subgroup of the p-adic integral group ring of a finite p-group is conjugate to a subgroup of the finite group. A counterexample to the conjecture of Zassenhaus that group basis are rationally conjugate, is presented in the semilocal situation (Scott - Roggenkamp). To this end, an extended version of Clifford theory for p-adic integral group rings is presented. Moreover, several examples are given to demonstrate the complexity of the isomorphism problem. The second part of the book is concerned with various aspects of the structure of rings of integers as Galois modules. It begins with a brief overview of major results in the area; thereafter the majority of the text focuses on the use of the theory of Hopf algebras. It begins with a thorough and detailed treatment of the required foundational material and concludes with new and interesting applications to cyclotomic theory and to elliptic curves with complex multiplication. Examples are used throughout both for motivation, and also to illustrate new ideas.

How long is Group Rings and Class Groups?

Group Rings and Class Groups by K.W. Roggenkamp is 210 pages long, and a total of 52,500 words.

This makes it 71% the length of the average book. It also has 64% more words than the average book.

How Long Does it Take to Read Group Rings and Class Groups Aloud?

The average oral reading speed is 183 words per minute. This means it takes 4 hours and 46 minutes to read Group Rings and Class Groups aloud.

What Reading Level is Group Rings and Class Groups?

Group Rings and Class Groups is suitable for students ages 12 and up.

Note that there may be other factors that effect this rating besides length that are not factored in on this page. This may include things like complex language or sensitive topics not suitable for students of certain ages.

When deciding what to show young students always use your best judgement and consult a professional.

Where Can I Buy Group Rings and Class Groups?

Group Rings and Class Groups by K.W. Roggenkamp is sold by several retailers and bookshops. However, Read Time works with Amazon to provide an easier way to purchase books.

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