Results 31 to 40 of about 1,459,552 (317)

Trace Class Groups

open access: yesJournal of Lie Theory, 2016
A representation $π$ of a locally compact group $G$ is called \e{trace class}, if for every test function $f$ the induced operator $π(f)$ is a trace class operator. The group $G$ is called \e{trace class}, if every $π\in G$ is trace class. We show that trace class groups are type I and give a criterion for semi-direct products to be trace class and ...
Deitmar, A., Dijk, G. van
openaire   +4 more sources

Exploring the 2-Part of Class Groups in Quadratic Fields: Perspectives on the Cohen–Lenstra Conjectures

open access: yesMathematics
Cohen and Lenstra introduced conjectures concerning the distribution of class numbers in quadratic fields, though many of these conjectures remain unproven.
Yong Wang   +4 more
doaj   +1 more source

The powerful class of groups

open access: yesMathematische Nachrichten, 2023
AbstractPro‐ groups of finite powerful class are studied. We prove that these are ‐adic analytic, and further describe their structure when their powerful class is small. It is also shown that there are only finitely many finite ‐groups of fixed coclass and powerful class.
openaire   +4 more sources

Isomorphism versus commensurability for a class of finitely presented groups

open access: yes, 2014
We construct a class of finitely presented groups where the isomorphism problem is solvable but the commensurability problem is unsolvable. Conversely, we construct a class of finitely presented groups within which the commensurability problem is ...
Arzhantseva, Goulnara   +2 more
core   +1 more source

Minimal Polynomials of Some Eta-Quotients Evaluated at CM Points

open access: yesMathematics
We study certain eta-quotients of weight zero evaluated at CM points of imaginary quadratic orders. Using the theory of extended form class groups, we show that these special values generate the corresponding ring class fields and we provide explicit ...
Ho Yun Jung
doaj   +1 more source

Class Groups and Selmer Groups

open access: yesJournal of Number Theory, 1996
It is often the case that a Selmer group of an abelian variety and a group related to an ideal class group can both be naturally embedded into the same cohomology group. One hopes to compute one from the other by finding how close each is to their intersection.
openaire   +3 more sources

On a class of butler groups

open access: yesmanuscripta mathematica, 1991
Using elementary lattice theoretic and linear algebraic techniques, the authors classify up to isomorphism and up to quasi-isomorphism the strongly indecomposable Butler groups that occur as quotients of a finite rank completely decomposable torsion-free abelian group modulo a rank 1 pure subgroup.
Fuchs, Laszlo, Metelli, Claudia
openaire   +2 more sources

$N$-recognizability of Groups $ Alt_p\times Alt_5$,\\ Where $p>1361$ Is a Prime Number

open access: yesИзвестия Иркутского государственного университета: Серия "Математика"
$N$-recognizability of Groups $ Alt_p\times Alt_5$, Where $p>1361$ Is a Prime Number} Given a finite group $L$, let $N(L)$ denote the set of its conjugacy class sizes.
I. B. Gorshkov, V. D. Shepelev
doaj   +1 more source

Carcinomas and Carcinoid Tumors of the Lungs and Bronchi in Children and Adolescents: The EXPeRT Recommendations

open access: yesPediatric Blood &Cancer, EarlyView.
ABSTRACT Primary lung carcinomas and bronchial carcinoid tumors (BC) are very rare malignancies in childhood. While typical BC and mucoepidermoid carcinomas are mostly low‐grade, localized tumors with a more favorable prognosis than in adults, necessitating avoidance of overtreatment, adenocarcinomas of the lung are often diagnosed at advanced disease ...
Michael Abele   +19 more
wiley   +1 more source

European Standard Clinical Practice Guideline and EXPeRT Recommendations for the Diagnosis and Management of Gastroenteropancreatic Neuroendocrine Neoplasms in Children and Adolescents

open access: yesPediatric Blood &Cancer, EarlyView.
ABSTRACT Pediatric gastroenteropancreatic neuroendocrine neoplasms (GEP‐NENs) are extremely rare and clinically heterogeneous. Management has largely been extrapolated from adult practice. This European Standard Clinical Practice Guideline (ESCP), developed by the EXPeRT network in collaboration with adult NEN experts, provides (adult) evidence ...
Michaela Kuhlen   +23 more
wiley   +1 more source

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