Concept

Sylow theorems

Related publications (32)

Subgroups of elliptic elements of the Cremona group

The Cremona group is the group of birational transformations of the complex projective plane. In this paper we classify its subgroups that consist only of elliptic elements using elementary model theory. This yields in particular a description of the struc ...

2021

$A_1$-type subgroups containing regular unipotent elements

Donna Testerman

Let be a simple exceptional algebraic group of adjoint type over an algebraically closed field of characteristic and let be a subgroup of containing a regular unipotent element of . By a theorem of Testerman, is contained in a connected subgroup of of type ...

2019

A cell fitness selection model for neuronal survival during development

Gioele La Manno

Developmental cell death plays an important role in the construction of functional neural circuits. In vertebrates, the canonical view proposes a selection of the surviving neurons through stochastic competition for target-derived neurotrophic signals, imp ...

2019

Real-Time State Estimation and Voltage Stability Assessment of Power Grids: From Theoretical Foundations to Practical Applications

Andreas Martin Kettner

The operators of power distribution systems strive to lower their operational costs and improve the quality of the power service provided to their customers. Furthermore, they are faced with the challenge of accommodating large numbers of Distributed Energ ...

EPFL2019

Restriction of irreducible modules for Spin2+1(K) to Spin2(K)

Mikaël Cavallin

Let K be an algebraically closed field of characteristic

p\geq0

and let

Y=SPin_{2n+1}(K) (n\geq3)

be a simply connected simple algebraic group of type

B_n

over

K

. Also let

X

be the subgroup of type

D_n

, embedded in

Y

in the usual way, as the ...

2017

Elliptic curves over a finite field and the trace formula

Ian Nicholas Petrow

We prove formulas for power moments for point counts of elliptic curves over a finite field k such that the groups of k-points of the curves contain a chosen subgroup. These formulas express the moments in terms of traces of Hecke operators for certain con ...

Wiley2017

Phylogenetic comparison of Desulfotomaculum species of subgroup 1a and description of Desulfotomaculum reducens sp.nov.

Rizlan Bernier-Latmani, Manon Frutschi

A genome and physiological comparison was made of the type strains of Desulfotomaculum species belonging to subgroup 1a and of 'Desulfotomaculum reducens' strain MI-1. Phenotypically, 'Desulfotomaculum reducens' strain MI-1 can be distinguished from the ot ...

Society for General Microbiology2016

Special Reductive Groups Over An Arbitrary Field

Mathieu Huruguen

A linear algebraic group G defined over a field k is called special if every G-torsor over every field extension of k is trivial. In 1958 Grothendieck classified special groups in the case where the base field is algebraically closed. In this paper we desc ...

Springer Birkhauser2016

Trace maps for Mackey algebras

Baptiste Thierry Pierre Rognerud

Let G be a finite group and R be a commutative ring. The Mackey algebra μR(G) shares a lot of properties with the group algebra RG however, there are some differences. For example, the group algebra is a symmetric algebra and this is not always the case fo ...

Elsevier2015

Alteration and recovery of arm usage in daily activities following rotator cuff surgery

Kamiar Aminian, Alain Farron, Brigitte Jolles-Haeberli, Cyntia Duc

Background: The objective measurement of dominant/nondominant arm use proportion in daily life may provide relevant information on healthy and pathologic armbehavior. This prospective case-control study explored the potential of such measurements as indica ...

Elsevier2015

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Restriction of irreducible modules for Spin2+1(K) to Spin2(K)

Mikaël Cavallin

Let K be an algebraically closed field of characteristic

p\geq0

and let

Y=SPin_{2n+1}(K) (n\geq3)

be a simply connected simple algebraic group of type

B_n

over

K

. Also let

X

be the subgroup of type

D_n

, embedded in

Y

in the usual way, as the ...

2017