Results 221 to 230 of about 11,420 (266)

One-dimensional subgroups and connected components in non-abelian p-adic definable groups

Journal of Symbolic Logic (JSL), 2023
We generalize two of our previous results on abelian definable groups in $p$-adically closed fields to the non-abelian case. First, we show that if $G$ is a definable group that is not definably compact, then $G$ has a one-dimensional definable subgroup ...
Will Johnson, Ningyuan Yao
semanticscholar   +1 more source

ABELIAN SUBGROUPS OF GALOIS GROUPS

Mathematics of the USSR-Izvestiya, 1992
See the review in Zbl 0736.12004.
openaire   +1 more source

On the subgroups of finite Abelian groups of rank three

Annales Universitatis Scientiarum Budapestinensis de Rolando Eötvös Nominatae. Sectio computatorica, 2013
We describe the subgroups of the group Zm Zn Zr and derive a simple formula for the total number s(m;n;r) of the subgroups, where m;n;r are arbitrary positive integers. An asymptotic formula for the function n7! s(n;n;n) is also deduced.
Mario Hampejs, L. T'oth
semanticscholar   +1 more source

Sato–Tate groups of abelian threefolds: a preview of the classification

Contemporary Mathematics, 2019
We announce the classification of Sato-Tate groups of abelian threefolds over number fields; there are 410 possible conjugacy classes of closed subgroups of USp(6) that occur. We summarize the key points of the "upper bound" aspect of the classification,
F. Fité, K. Kedlaya, Andrew V. Sutherland   +2 more
semanticscholar   +1 more source

Characteristic Subgroups of Finite Abelian Groups

, 2009
We consider the following question: When do two finite abelian groups have isomorphic lattices of characteristic subgroups? An explicit description of the characteristic subgroups of such groups enables us to give a complete answer to this question, in ...
Brent Kerby, Emma L. Rode
semanticscholar   +1 more source

Subgroups of Bounded Abelian Groups

1984
Valuated groups are a topic of central interest in Abelian group theory. On one hand, they provide a viewpoint for classical Abelian theory problems, and on the other hand are of interest in their own right. In this latter regard, there has been some progress in getting structure theorems for certain valuated groups.
Roger Hunter, Fred Richman, Elbert Walker   +2 more
openaire   +1 more source

SYMMETRIC GROUPS AS PRODUCTS OF ABELIAN SUBGROUPS

Bulletin of the London Mathematical Society, 2002
Summary: A proof is given that the full symmetric group over any infinite set is the product of finitely many Abelian subgroups. In fact, 289 subgroups suffice. Sharp bounds are also obtained on the minimal number \(k\), such that the finite symmetric group \(S_n\) is the product of \(k\) Abelian subgroups.
openaire   +1 more source

Intersection of Abelian subgroups in finite groups

Mathematical Notes, 1994
Let \(G\) be a finite group with subgroups \(A\) and \(B\). The author of the paper under review calls minimal elements (with respect to inclusion) of the set \(\{A^g\cap B\mid g\in G\}\) minimal \((A, B)\)-intersections. Generalizing results of \textit{T. J. Laffey} [Proc. Edinb. Math. Soc., II. Ser. 20 (1976), 229-232 (1977; Zbl 0363.20021)], \textit{
openaire   +1 more source

Breast Cancer Statistics, 2022

Ca-A Cancer Journal for Clinicians, 2022
Hyuna Sung, Kimberly D Miller, Rebecca L Siegel   +2 more
exaly  

Subgroups of Abelian Polish Groups

2006
2. Notation In what follows, G is an uncountable abelian Polish group and d(·, ·) a compatible, complete, two sided-invariant metric. We write the group operations on G with reference to it being abelian – thus + is the group operation and n · g stands for g + g + · · · (n times) · · ·+ g. 0 is the group identity in G. We will find it convenient to use
openaire   +1 more source