Quotient groups of topological groups with no small subgroups
نویسندگان
چکیده
منابع مشابه
Normal Subgroups and Quotient Groups
Another way to do this is to use individual elements. Take an element from {2, 6} and an element from {3, 7} and add them. Find the coset that contains the sum. That coset is the sum of the cosets. For example, if I use 6 from {2, 6} and 3 from {3, 7}, I get 6 + 3 = 1, which is in {1, 5}. Therefore, {2, 6}+ {3, 7} = {1, 5}. What happens if you choose different elements? Take 2 from {2, 6} and 7...
متن کاملRepresenting Subgroups of Finitely Presented Groups by Quotient Subgroups
CONTENTS This article proposes to represent subgroups of finitely presented 1 . Creation of Quotient Representations and Easy Calculations g r o u p s b y t h e i r i m a g e i n a quo t ient. It gives algorithms for basic 2. Subdirect Products operations in this representation and investigates how iteration 3. Iterated Quotient Representations of this approach can be used to extend known quoti...
متن کاملPOS-groups with some cyclic Sylow subgroups
A finite group G is said to be a POS-group if for each x in G the cardinality of the set {y in G | o(y) = o(x)} is a divisor of the order of G. In this paper we study the structure of POS-groups with some cyclic Sylow subgroups.
متن کاملSome Nonprojective Subgroups of Free Topological Groups
For the free topological group on an interval [a, b] a family of closed, locally path-connected subgroups is given such that each group is not projective and so not free topological. Simplicial methods are used, and the test for nonprojectivity is nonfreeness of the group of path components. Similar results are given for the abelian case. Introduction. Let F(X) be the free topological group on ...
متن کاملSubgroups of Free Topological Groups and Free Topological Products of Topological Groups
Introduction Our objectives are topological versions of the Nielsen-Schreier Theorem on subgroups of free groups, and the Kurosh Theorem on subgroups of free products of groups. It is known that subgroups of free topological groups need not be free topological [2, 6, and 9]. However we might expect a subgroup theorem when a continuous Schreier transversal exists, and we give such a result in th...
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: Proceedings of the American Mathematical Society
سال: 1972
ISSN: 0002-9939
DOI: 10.1090/s0002-9939-1972-0293000-9