Smith equivalence for finite abelian groups
نویسندگان
چکیده
منابع مشابه
Smith Equivalence of Representations for Finite Perfect Groups
Using smooth one-fixed-point actions on spheres and a result due to Bob Oliver on the tangent representations at fixed points for smooth group actions on disks, we obtain a similar result for perfect group actions on spheres. For a finite group G, we compute a certain subgroup IO′(G) of the representation ring RO(G). This allows us to prove that a finite perfect group G has a smooth 2–proper ac...
متن کاملCCZ and EA equivalence between mappings over finite Abelian groups
CCZand EA-equivalence, which are originally defined for vectorial Boolean functions, are extended to mappings between finite abelian groups G and H. We obtain an extension theorem for CCZequivalent but not EA-equivalent mappings. Recent results in [1] are improved and generalized.
متن کاملDecomposing finite Abelian groups
This paper describes a quantum algorithm for efficiently decomposing finite Abelian groups. Such a decomposition is needed in order to apply the Abelian hidden subgroup algorithm. Such a decomposition (assuming the Generalized Riemann Hypothesis) also leads to an efficient algorithm for computing class numbers (known to be at least as difficult as factoring).
متن کاملFactoring finite abelian groups
It is shown that if in the factorization of a finite cyclic group each factor has either prime power order or order equal to the product of two primes then one factor must be periodic. This is shown to be the best possible result of this type. 2004 Elsevier Inc. All rights reserved.
متن کاملnon-divisibility for abelian groups
Throughout all groups are abelian. We say a group G is n-divisible if nG = G. If G has no non-zero n-divisible subgroups for all n>1 then we say that G is absolutely non-divisible. In the study of class C consisting all absolutely non-divisible groups such as G, we come across the sub groups T_p(G) = the sum of all p-divisible subgroups and rad_p(G) = the intersection of all p^nG. The proper...
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: Pacific Journal of Mathematics
سال: 1992
ISSN: 0030-8730,0030-8730
DOI: 10.2140/pjm.1992.152.41