Results 111 to 120 of about 1,309 (212)

Conjugacy classes in integral symplectic groups

Linear Algebra and its Applications, 2006
Let \(\mathfrak D\) be a principal ideal domain and \(\mathfrak F\) the field of quotients. Let \(I_n\) be the identity matrix in \(M_n(\mathfrak D)\) and \(J=\left(\begin{smallmatrix} 0&I_n\\-I_n&0\end{smallmatrix}\right)\). The set of unimodular matrices \(X\) in \(M_{2n}(\mathfrak D)\) such that \(X^tJX=J\) will be denoted by \(\text{Sp}_{2n ...
openaire   +1 more source

Squares of conjugacy classes in alternating groups

We extend to alternating groups $A_n$ several results about symmetric groups asserting that under various conditions on a conjugacy class, or more generally, a normal subset, $C$ of $S_n$, we have $C^2 \supseteq A_n\setminus\{1\}$
Larsen, Michael J., Tiep, Pham Huu
openaire   +2 more sources

Monodromy-Prescribed Polystable Bundles on Punctured Riemann Surfaces and the Geometry of Singular Control Strategies

Axioms
This paper establishes a functorial algebraic isomorphism between the moduli space BCps(Σ,G) of polystable principal G-bundles with prescribed monodromy on a punctured Riemann surface Σ of genus g≥2, for a complex reductive Lie group G, and the character
Álvaro Antón-Sancho
doaj   +1 more source

Normal automorphisms of relatively hyperbolic groups

, 2010
An automorphism of a group G is normal if it fixes every normal subgroup of G setwise. We give an algebraic description of normal automorphisms of relatively hyperbolic groups.
D. Osin, Osin, Denis, Minasyan, Ashot, A. Minasyan   +3 more
core   +1 more source

Groups with restrictions on infinite conjugacy classes

, 2017
A group G is said to be an AFC-group if for each element x of G at least one of the indices |$C_G(x)$:| and |G:$C_G(x)$| is finite. Groups with this property appear as a natural generalization of those with finite conjugacy classes, and the aim of this ...
MUSELLA, CARMELA, DE GIOVANNI, FRANCESCO, F. de Giovanni, DE FALCO, MARIA, C. Musella, Trabelsi, N., N. Trabelsi, M. De Falco   +7 more
core   +1 more source

The exact number of conjugacy classes for 2 - generator p - groups of nilpotency class 2 [PDF]

, 2008
An element x is conjugate to y in a group G if there exists an element g in G such that g-1xg = xg = y. The relation x is conjugate to y is an equivalence relation which induces a partition of G whose elements are called conjugacy classes.
Ahmad, Azhana
core  

Application of t-intuitionistic fuzzy subgroup to Sylow theory. [PDF]

Heliyon, 2023
Latif L, Shuaib U.
europepmc   +1 more source

TWISTED CONJUGACY CLASSES IN LIE GROUPS

Theorem 5.1 has been revised and Example 5.6 has been enhanced.
Prakash, Ravi, Shah, Riddhi
openaire   +2 more sources

Conjugacy classes of some classical linear groups

, 2018
Cilj magistrskega dela je preučiti razrede konjugiranih elementov v nekaterih klasičnih linearnih grupah. V uvodnem poglavju magistrske naloge najprej predstavimo nekaj osnovnih pojmov in definicij iz teorije grup, ki so potrebni za razumevanje ...
Stojko, Danijela
core  

On sufficient density conditions for lattice orbits of relative discrete series. [PDF]

Arch Math, 2022
Enstad U, van Velthoven JT.
europepmc   +1 more source