SOME GROUP THEORY PROBLEMS
نویسندگان
چکیده
منابع مشابه
Some Group Theory Problems
This is a survey of some problems in geometric group theory which I find interesting. The problems are from different areas of group theory. Each section is devoted to problems in one area. It contains an introduction where I give some necessary definitions and motivations, problems and some discussions of them. For each problem, I try to mention the author. If the author is not given, the prob...
متن کاملSome Undecidable Problems in Group Theory
In this paper we obtain general results for undecidable first order decision problems about groups (that is, problems about elements in a particular group, such as the word and conjugacy problems). We shall describe a class ii of such decision problems and a construction A such that if P is a problem in Q, then A(P) will be a finitely presented group in which P is recursively undecidable. This ...
متن کاملOn Some Problems of a Statistical Group Theory
To the memory o f CATHERINE RÉNYI 1. In the second paper of this series (see [2]) we dealt with statistical theorems concerning the arithmetical structure of O(P) the order of the element P in symmetric group S " of n letters. If w(x) /-with x arbitrarily slowly and assigning to the phrase "for almost all P's" the meaning "for all but o(n!) P's" the theorems in question run as follows .
متن کاملOn Some Problems of a Statistical Group-theory. Ii
if only co(n) -> with n . Hence log O(P) is for almost all P's much less than its maximum, which is as LANDAU 2 proved, 1/n log n . Though several questions in the first paper were left to later papers of this series and we intend indeed to return to them in paper 111, in this paper we launch another trend which seems to us equally interesting in itself and perhaps even more inherent to the alg...
متن کاملOn Some Problems of a Statistical Group - Theory
1. By statistical group-theory we mean the study of those properties of certain complexes of a “large” group which are shared by “most” of these complexes. The group considered in this paper will be &, the symmetric group of n letters; its group-elements will be denoted by P. The complexes considered here will be simply the elements P of 8, ; the property in question will be the group-order O(P...
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: International Journal of Algebra and Computation
سال: 2007
ISSN: 0218-1967,1793-6500
DOI: 10.1142/s0218196707003925