The reciprocity law of Coleman for the Hilbert norm residue symbol has allowed the computation of the conductors of the abelian Kummer extensions Q p ( p n a, `pn )รQ p (`pn ) with a # Q p and `pn a primitive ( p n ) th root of unity for a fixed prime p and all positive integers n. From these conduc
Nonabelian tensor products and nonabelian homology of groups
โ Scribed by Niko Inassaridze
- Publisher
- Elsevier Science
- Year
- 1996
- Tongue
- English
- Weight
- 636 KB
- Volume
- 112
- Category
- Article
- ISSN
- 0022-4049
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๐ SIMILAR VOLUMES
The nonabelian tensor square and the Schur multiplicator are determined for arbitrary groups of class 2 in a closed form. A functorial description is given in terms of a polynomial quotient of the integral group ring, as well as a more explicit formula for finite groups which can be evaluated by mat
## Abstract In two groups of order 100 new difference sets are constructed. The existence of a difference set in one of them has not been known. The correspondence between a (100, 45, 20) symmetric design having regular automorphism group and a difference set with the same parameters has been used
Thus, we observe that nrt is a divisor of p a y 1. This implies p b y 1 divides p a y 1, and so, b divides a. Since a divides b, we conclude that a s b which implies that b divides d. Write k for the Galois field having order p b , and observe that E : k : F. We define N to be the subgroup of M ide