It takes the average reader 1 hour and 42 minutes to read Cohomological Invariants: Exceptional Groups and Spin Groups by Skip Garibaldi
Assuming a reading speed of 250 words per minute. Learn more
This volume concerns invariants of $G$-torsors with values in mod $p$ Galois cohomology--in the sense of Serre's lectures in the book Cohomological invariants in Galois cohomology--for various simple algebraic groups $G$ and primes $p$. The author determines the invariants for the exceptional groups $F_4$ mod 3, simply connected $E_6$ mod 3, $E_7$ mod 3, and $E_8$ mod 5. He also determines the invariants of $\mathrm{Spin}_n$ mod 2 for $n \leq 12$ and constructs some invariants of $\mathrm{Spin}_{14}$. Along the way, the author proves that certain maps in nonabelian cohomology are surjective. These surjectivities give as corollaries Pfister's results on 10- and 12-dimensional quadratic forms and Rost's theorem on 14-dimensional quadratic forms. This material on quadratic forms and invariants of $\mathrm{Spin}_n$ is based on unpublished work of Markus Rost. An appendix by Detlev Hoffmann proves a generalization of the Common Slot Theorem for 2-Pfister quadratic forms.
Cohomological Invariants: Exceptional Groups and Spin Groups by Skip Garibaldi is 102 pages long, and a total of 25,704 words.
This makes it 34% the length of the average book. It also has 31% more words than the average book.
The average oral reading speed is 183 words per minute. This means it takes 2 hours and 20 minutes to read Cohomological Invariants: Exceptional Groups and Spin Groups aloud.
Cohomological Invariants: Exceptional Groups and Spin Groups is suitable for students ages 10 and up.
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