Results 81 to 90 of about 3,182 (219)
Abelian number fields with frobenian conditions
Mathematika, Volume 72, Issue 4, October 2026.Abstract We study the distribution of abelian number fields with frobenian conditions imposed on the conductor. In particular, we find an asymptotic for the number of abelian field extensions of a number field k$k$ whose conductor is the sum of two squares. We also discuss an application of the Brauer group of stacks to quadratic number fields.
Julie Tavernier
wiley +1 more source
Conjugacy Classes in Algebraic Monoids II [PDF]
, 1994 Let M be a connected linear algebraic monoid with zero and a reductive unit group. We show that there exist reductive groups G1,..., Gt, each with an automorphism, such that the conjugacy classes of M are in a natural bijective correspondence with the ...
Mohan S. Putcha
core +1 more source
Reflection factorizations of Singer cycles [PDF]
Discrete Mathematics & Theoretical Computer Science, 2014 The number of shortest factorizations into reflections for a Singer cycle in $GL_n(\mathbb{F}_q)$ is shown to be $(q^n-1)^{n-1}$. Formulas counting factorizations of any length, and counting those with reflections of fixed conjugacy classes are also ...
J.B. Lewis, V. Reiner, D. Stanton
doaj +1 more source
Classification of periodic transformations of an orientable surface of genus two
Журнал Средневолжского математического общества, 2021 In this paper, we find all admissible topological conjugacy classes of periodic transformations of a two-dimensional surface of genus two. It is proved that there are exactly seventeen pairwise topologically non-conjugate orientation-preserving periodic ...
Baranov Denis A., Pochinka Olga V.
doaj +1 more source
GROUPS WITH SMALL CONJUGACY CLASSES
Tamkang Journal of Mathematics, 1999 A group satisfies property (*) iff every conjugacy class has size not greater than 2. This paper proves properties of this type of group and conclude that it is a central product of an abelian group with 2-groups that are "almost" extra special.
How, G. A., Chuang, F. C.
openaire +3 more sources
On intersections of conjugacy classes and bruhat cells [PDF]
Transformation Groups, 2010 For a connected complex semi-simple Lie group $G$ and a fixed pair $(B, B^-)$ of opposite Borel subgroups of $G$, we determine when the intersection of a conjugacy class $C$ in $G$ and a double coset $BwB^-$ is non-empty, where $w$ is in the Weyl group $W$ of $G$.
Chan, KY, To, SKM, Lu, JH
openaire +4 more sources
Surface subgroups for cocompact lattices of isometries of H2n$\mathbb {H}^{2n}$
Journal of Topology, Volume 19, Issue 3, September 2026.Abstract We prove the existence of surface subgroups within any cocompact lattice Γ$\Gamma$ in SO(2n,1)$\mathrm{SO}(2n,1)$ for n⩾2$n\geqslant 2$. This result addresses the cases missing from the work of Hamenstädt in 2015, who constructed surface subgroups in cocompact lattices for all other rank‐1 simple Lie groups of noncompact type.
Jeremy Kahn, Zhenghao Rao
wiley +1 more source
Complexity of conjugacy classes of A(Q) [PDF]
, 2003 We find some necessary conditions for separation of conjugacy classes by Gδ-sets in A(Q), the group of order preserving permutations of Q. A description of Gδ-conjugacy classes of this group is obtained.
Majcher-Iwanow, B.
core +1 more source
Conjugacy classes of autohomeomorphisms of N* [PDF]
, 2022 We present some problems related to the conjugacy classes of aut(N*
van Mill, J., Hart, K.P.
core +6 more sources
Totally elliptic surface group representations
Bulletin of the London Mathematical Society, Volume 58, Issue 8, August 2026.Abstract A surface group representation into a Lie group is totally elliptic if every simple closed curve on the surface is mapped to an elliptic element. In this note, we characterize all totally elliptic surface group representations into PSL2R$\operatorname{PSL}_2 \mathbb {R}$ and PSL2C$\operatorname{PSL}_2\mathbb {C}$ by showing that they are ...
Arnaud Maret
wiley +1 more source