On projective invariant subgroups of Abelian groups
โ Scribed by A. R. Chekhlov
- Publisher
- Springer US
- Year
- 2009
- Tongue
- English
- Weight
- 128 KB
- Volume
- 164
- Category
- Article
- ISSN
- 1573-8795
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
We generalize and present simplified proofs almost all elementary lemmas from Section 8 of the Odd Order Paper. In many places we use Hall's enumeration principle and other simple combinatorial arguments. A number of related results are proved as well. Some open questions are posed. แฎ 1998 Academic
Let G be a finite elementary abelian p-group. Given a 2-cocycle โฃ of G over the field of complex numbers, we show how to construct an irreducible projective representation of G with 2-cocycle in the cohomology class of โฃ. Let S be a 2 ## ลฝ . subgroup of G of index dividing p . Then we also count