منابع مشابه
Supersoluble Groups
We shall term a group G supersoluble if every homomorphic image H9*l of G contains a cyclic normal subgroup different from 1. Supersoluble groups with maximum condition, in particular finite supersoluble groups, have been investigated by various authors: Hirsch, Ore, Zappa and more recently Huppert and Wielandt. In the present note we want to establish the close connection between supersoluble ...
متن کاملExamples Illustrating the Instability of Packing Dimensions of Sections
We shall use the \iterated Venetian blind" construction to show that the packing dimensions of plane sections of subsets of R n can depend essentially on the directions of the planes. We shall also establish the instability of the packing dimension of sections under smooth dieomorphisms.
متن کاملA Class of Generalized Supersoluble Groups
This paper is devoted to the study of groups G in the universe cL̄ of all radical locally finite groups with min-p for all primes p such that every δ-chief factor of G is either a cyclic group of prime order or a quasicyclic group. We show that within the universe cL̄ this class of groups behaves very much as the class of finite supersoluble groups.
متن کاملHandout: using SAD to unify the examples in sections
Let X and Y be arbitrary sets, where you can think of X as the set of all choices available to player 1 and Y as the set of all choices available to player 2. To discuss SAD for the zero-sum situation, it is enough to consider only the payoff function F : X × Y → R of player 1, who is striving to maximize his payoff. The payoff for the minimizing player 2 follows then implicitly: if choices x ∈...
متن کاملLanguages Recognized by Finite Supersoluble Groups
In this paper, we give two descriptions of the languages recognized by finite supersoluble groups. We first show that such a language belongs to the Boolean algebra generated by the modular products of elementary commutative languages. An elementary commutative language is defined by a condition specifying the number of occurrences of each letter in its words, modulo some fixed integer. Our sec...
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: Bulletin of the Australian Mathematical Society
سال: 1994
ISSN: 0004-9727,1755-1633
DOI: 10.1017/s0004972700016385