Applications of algebraic duality to group divisible structures
β Scribed by Bhagwandas; W.G. Bridges
- Publisher
- Elsevier Science
- Year
- 1981
- Tongue
- English
- Weight
- 753 KB
- Volume
- 37
- Category
- Article
- ISSN
- 0012-365X
No coin nor oath required. For personal study only.
β¦ Synopsis
A theorem of the second author is used to strengthen, generalize several results concerning general group divisible dcqigns.
π SIMILAR VOLUMES
Cohomology rings of finite groups have strong duality properties, as shown by w x w x Benson and Carlson 4 and Greenlees 16 . We prove here that cohomology rings of virtual duality groups have a ring theoretic duality property, which combines the duality properties of finite groups with the cohomolo
## Abstract The present article applies the method of Geometric Analysis to the study __H__ βtype groups satisfying the __J__^2^ condition and finishes the series of works describing the Heisenberg group and the quaternion __H__ βtype group. The latter class of __H__ βtype groups satisfying the __J
## Abstract In this article, we first show that a group divisible 3βdesign with block sizes from {4, 6}, index unity and groupβtype 2^__m__^ exists for every integer __m__β₯ 4 with the exception of __m__β=β5. Such group divisible 3βdesigns play an important role in our subsequent complete solution t