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...
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Our goal in this section will be to collect some standard examples of finite groups. The main emphasis will be on realizing them as subgroups of GL(n,R) or GL(n,C). Cyclic groups: For a natural number n, let Z/nZ be the standard cyclic group of order n. We denote its elements by 0, 1, . . . , n − 1, and 1 is a generator. Another model for the cyclic group of order n is the nth roots of unity, o...
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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 کاملSome Topics in Asymptotic Group Theory
1. ENUMERATION There is nothing unusual about asymptotics in fmite group theory: there are a number of known (or even well-known) asymptotic results. While these are not really the subject of this paper, it seems appropriate to begin with some especially intriguing examples (the fIrst and last of which will be need later).
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We clarify some aspects of quantum group gauge theory and its recent generalisations (by T. Brzezinski and the author) to braided group gauge theory and coalgebra gauge theory. We outline the diagrammatic version of the braided case. We study the bosonisation of any braided group provides as a trivial principal bundle in three ways.
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ژورنال
عنوان ژورنال: School Science and Mathematics
سال: 1918
ISSN: 0036-6803
DOI: 10.1111/j.1949-8594.1918.tb03918.x