Frames associated with an abelian $l$-group
نویسندگان
چکیده
منابع مشابه
Generalized Quadrangles with an Abelian Singer Group
In this note we characterize thick finite generalized quadrangles constructed from a generalized hyperoval as those admitting an abelian Singer group, i.e., an abelian group acting regularly on the points.
متن کاملABELIAN SURFACES ADMITTING AN (l, l)-ENDOMORPHISM
We give a classification of all principally polarized abelian surfaces that admit an (l, l)-isogeny to themselves, and show how to compute all the abelian surfaces that occur. We make the classification explicit in the simplest case l = 2. As part of our classification, we also show how to find all principally polarized abelian surfaces with multiplication by a given imaginary quadratic order.
متن کاملPerpendicularity in an Abelian Group
We give a set of axioms to establish a perpendicularity relation in anAbelian group and then study the existence of perpendicularities in (Z n , +) and (Q + , ⋅) and in certain other groups. Our approach provides a justification for the use of the symbol⊥ denoting relative primeness in number theory and extends the domain of this convention to some degree. Related to that, we also consider para...
متن کاملSolvable $L$-subgroup of an $L$-group
In this paper, we study the notion of solvable $L$-subgroup of an $L$-group and provide its level subset characterization and this justifies the suitability of this extension. Throughout this work, we have used normality of an $L$-subgroup of an $L$-group in the sense of Wu rather than Liu.
متن کاملFreiman’s Theorem in an Arbitrary Abelian Group
A famous result of Freiman describes the structure of finite sets A ⊆ Z with small doubling property. If |A + A| 6 K|A| then A is contained within a multidimensional arithmetic progression of dimension d(K) and size f(K)|A|. Here we prove an analogous statement valid for subsets of an arbitrary abelian group.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Transactions of the American Mathematical Society
سال: 1992
ISSN: 0002-9947,1088-6850
DOI: 10.1090/s0002-9947-1992-1042288-2