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15 صفحه اولNSE characterization of some linear groups
For a finite group $G$, let $nse(G)={m_kmid kinpi_e(G)}$, where $m_k$ is the number of elements of order $k$ in $G$ and $pi_{e}(G)$ is the set of element orders of $G$. In this paper, we prove that $Gcong L_m(2)$ if and only if $pmid |G|$ and $nse(G)=nse(L_m(2))$, where $min {n,n+1}$ and $2^n-1=p$ is a prime number.
متن کاملMartingale Characterizations of Stochastic Processes on Compact Groups
By a classical result of P. L evy, the Brownian motion (B t) t0 on R may be characterized as a continuous process on R such that (B t) t0 and (B 2 t ? t) t0 are martingales. Generalizations of this result are usually obtained in the setting of the so-called martingale problem. This paper contains a variant of the martingale problem for stochastic processes on locally compact groups with indepen...
متن کاملCharacterizations of groups generated by Kronecker sets
In recent years, starting with the paper [B-D-S], we have investigated the possibility of characterizing countable subgroups of the torus T = R/Z by subsets of Z. Here we consider new types of subgroups: let K ⊆ T be a Kronecker set (a compact set on which every continuous function f : K → T can be uniformly approximated by characters of T ), and G the group generated by K. We prove (Theorem 1)...
متن کاملArithmetical Characterizations of Divisor Class Groups Ii
Almost 20 years ago, W. Narkiewicz posed the problem to give an arithmetical characterization of the ideal class group of an algebraic number field ([13, problem 32]). In the meantime there are various answers to this question if the ideal class group has a special form. (cf. [4], [5], [12] and the literature cited there). The general case was treated by J. Koczorowski [11], F. Halter-Koch [8],...
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ژورنال
عنوان ژورنال: Nagoya Mathematical Journal
سال: 1962
ISSN: 0027-7630,2152-6842
DOI: 10.1017/s0027763000023813