Results 121 to 130 of about 5,046 (150)

On subgroups of finite index in compact Hausdorff groups

Archiv der Mathematik, 2003
Let \(G\) be a compact Hausdorff group. The authors prove that all abstract subgroups of finite index in \(G\) are open if and only if \(G\) has only finitely many abstract subgroups of index \(n\) for each integer \(n\) if and only if \(G\) has only countably many abstract subgroups of finite index.
Smith, M. G., Wilson, J. S.
openaire   +1 more source

Determining Subgroups of a Given Finite Index in a Finitely Presented Group

Canadian Journal of Mathematics, 1974
The use of computers to investigate groups has mainly been restricted to finite groups. In this work, a method is given for finding all subgroups of finite index in a given group, which works equally well for finite and for infinite groups. The basic object of study is the finite set of cosets.
Dietze, Anke, Schaps, Mary
openaire   +2 more sources

Subnormal joins and subgroups of finite index

Archiv der Mathematik, 1984
The following theorem is proved: Suppose \(G=\), where H, K are subnormal in G, and let A, B be such that H/A and K/B are finite \(\pi\)- groups. If G' has finite abelian section rank, then \(J=\) has finite \(\pi\)-index in G. In particular, J is subnormal.
openaire   +1 more source

Abelian subgroups of small index in finite p-groups

Journal of Group Theory, 2005
Let \(S\) be a finite \(p\)-group and ...
openaire   +2 more sources

Finite groups with 2-nilpotent subgroups of even index

Mathematical Notes, 1997
Let \(G\) be a finite group such that every subgroup of even index whose order is divisible by at most two distinct primes has a normal 2-complement. The author gives the exact structure of \(G/O(G)\). In particular, he proves that every non-abelian composition factor of \(G\) is isomorphic either to \(L_2(q\)), \(q=8r\pm 3\), or to \(L_2(2^p)\), \(p\)
openaire   +1 more source

Cycloidal normal subgroups of Hecke groups of finite index

1999
The Hecke groups \(H(\lambda_q)\) are discrete subgroups of \(\text{PSL}(2,\mathbb{R})\), generated by \(R(z)=-1/z\) and \(T(z)=z+\lambda_q\), where \(\lambda_q=2\cos\pi/q\), \(q\geq 3\), \(q\in\mathbb{N}\). Each subgroup of \(H(\lambda_q)\) corresponds to a non-compact Riemann surface. A cycloidal subgroup is one with only one cusp.
Bizim, Osman, Cangül, İsmail Naci
openaire   +2 more sources

Subgroups of prescribed finite index in linear groups

Israel Journal of Mathematics, 1987
The author calls a group G an \({\mathfrak X}\)-group of for every positive integer d there exists a subgroup H such that the index G:H is finite and divisible by d. Extending recent work of A. Lubotzky (which ultimately depends on the classification of the finite simple groups) the author proves the following Theorem: Let R be a commutative ring, M a ...
openaire   +2 more sources

Patient navigation across the cancer care continuum: An overview of systematic reviews and emerging literature

Ca-A Cancer Journal for Clinicians, 2023
Matthew Tieu, Jolyn Johal, Nicolas H Hart   +2 more
exaly  

Radiotheranostics in oncology: Making precision medicine possible

Ca-A Cancer Journal for Clinicians, 2023
Eric Aboagye
exaly  

The Conjugacy Problem and Subgroups of Finite Index

Proceedings of the London Mathematical Society, 1977
Collins, Donald J., Miller, Charles F. III   +1 more
openaire   +2 more sources