Results 51 to 60 of about 30,795 (238)
Spherical conjugacy classes and involutions in the Weyl group
Let G be a simple algebraic group over an algebraically closed field of characteristic zero or positive odd, good characteristic. Let B be a Borel subgroup of G. We show that the spherical conjugacy classes of G intersect only the double cosets of B in G
Carnovale, Giovanna
core +3 more sources
Wild conductor exponents of curves
Abstract We give an explicit formula for wild conductor exponents of plane curves over Qp$\mathbb {Q}_p$ in terms of standard invariants of explicit extensions of Qp$\mathbb {Q}_p$, generalising a formula for hyperelliptic curves. To do so, we prove a general result relating the wild conductor exponent of a simply branched cover of the projective line ...
Harry Spencer
wiley +1 more source
Morphisms and Order Ideals of Toric Posets
Toric posets are in some sense a natural “cyclic” version of finite posets in that they capture the fundamental features of a partial order but without the notion of minimal or maximal elements.
Matthew Macauley
doaj +1 more source
Conjugacy Growth and Conjugacy Width of Certain Branch Groups [PDF]
The conjugacy growth function counts the number of distinct conjugacy classes in a ball of radius $n$. We give a lower bound for the conjugacy growth of certain branch groups, among them the Grigorchuk group.
Fink, Elisabeth
core
The fundamental group of the complement of a generic fiber‐type curve
Abstract In this paper, we describe and characterize the fundamental group of the complement of generic fiber‐type curves, that is, unions of (the closure of) finitely many generic fibers of a component‐free pencil F=[f:g]:CP2⤍CP1$F=[f:g]:\mathbb {C}\mathbb {P}^2\dashrightarrow \mathbb {C}\mathbb {P}^1$.
José I. Cogolludo‐Agustín +1 more
wiley +1 more source
Application of Group‐Theoretical Approaches in Structural Natural Frequency Analyses
ABSTRACT Group theory has profoundly advanced physics and chemistry in systems with symmetries. Yet its use in structural engineering applications has not yet been fully explored beyond the aesthetics of symmetric designs. This work addresses two significant gaps that have limited the broader adoption of group‐theoretic methods in structural vibration ...
Shiyao Sun, Kapil Khandelwal
wiley +1 more source
On a dimension formula for spherical twisted conjugacy classes in semisimple algebraic groups [PDF]
Let \(G\) be a connected semisimple algebraic group over an algebraically closed field of characteristic 0, and let \(\theta\) be an automorphism of \(G\). The present article studies the \(\theta\)-twisted conjugacy classes in \(G\), i.e., the orbits of the action of \(G\) on itself given by \(g._\theta h=gh\theta(h)^{-1}\).
openaire +3 more sources
A note on groups with many locally supersoluble subgroups [PDF]
It is proved here that if G is a locally graded group satisfying the minimal condition on subgroups which are not locally supersoluble, then G is either locally supersoluble or a \vCernikov group.
Francesco de Giovanni +1 more
doaj
F^ω-injectors of finite groups [PDF]
Only finite groups and classes of finite groups are considered. $\frak F$-injectors (B. Fischer, W. Gaschutz, B. Hartley, 1967) and $\frak F$-projectors (W.
Sorokina, Marina M., Novikova, Diana G.
doaj +1 more source
Limits of Baumslag-Solitar groups and dimension estimates in the space of marked groups [PDF]
We prove that the limits of Baumslag-Solitar groups which we previously studied are non-linear hopfian C*-simple groups with infinitely many twisted conjugacy classes.
Guyot, Luc, Stalder, Yves
core

