Results 61 to 70 of about 167,102,035 (280)

Automorphisms of free braided nonassociative algebras of rank 2

Қарағанды университетінің хабаршысы. Математика сериясы
We prove the elementary reducibility of any nonaffine automorphism of a free nonassociative algebra of rank two over an arbitrary field. Using this result establish a property of automorphisms of this algebra that will be needed in later. We then derive
R. Mutalip, B.A. Duisengaliyeva, A.S. Naurazbekova   +2 more
doaj   +1 more source

Group manifolds and homogeneous spaces with HKT geometry: The role of automorphisms

Nuclear Physics B, 2020
We present a new simple proof of the fact that certain group manifolds as well as certain homogeneous spaces G/H of dimension 4n admit a triple of integrable complex structures that satisfy the quaternionic algebra and are covariantly constant with ...
A.V. Smilga
doaj   +1 more source

Stable rational cohomology of automorphism groups of free groups and the integral cohomology of moduli spaces of graphs [PDF]

, 2002
It is not known whether or not the stable rational cohomology groups H*(Aut(F[infinity]);Q) always vanish (see Hatcher in [5] and Hatcher and Vogtmann in [7] where they pose the question and show that it does vanish in the first 6 dimensions).
Jensen, Craig A., C. A. Jensen
core   +1 more source

Hyperkähler isometries of K3 surfaces

Journal of High Energy Physics, 2020
We consider symmetries of K3 manifolds. Holomorphic symplectic automorphisms of K3 surfaces have been classified, and observed to be subgroups of the Mathieu group M 23.
Anindya Banerjee, Gregory W. Moore
doaj   +1 more source

Catalan Bounds for Symmetric Strength‐Two Orthogonal Arrays

Journal of Combinatorial Designs, EarlyView.
ABSTRACT A Hamming shell construction is a two‐level array obtained by taking every binary vector of a given Hamming weight a prescribed number of times, for each weight in turn. Such arrays are invariant under all permutations of the factors, and they are strength‐two orthogonal arrays exactly when the multiplicities satisfy three linear constraints ...
Ruwan C. Karunanayaka
wiley   +1 more source

El grupo de automorfismos de las curvas de Fermat

Revista Integración, 2016
Pavlos Tzermias en su artículo "The group of automorphisms of the Fermat curve"(ver [7]), prueba que el grupo de automorfismos de las curvas de Fermat proyectivas en característica 0 es el producto semidirecto de la suma directa de 2 copias del grupo ...
Marby Bolaños Ortiz, Maribel Díaz, Martha Romero Rojas   +2 more
doaj   +1 more source

On the additive image of zeroth persistent homology

Transactions of the London Mathematical Society, Volume 13, Issue 1, December 2026.
Abstract For a category X$X$ and a finite field F$F$, we study the additive image of the functor H0(−;F)∗:rep(X,Top)→rep(X,VectF)$\operatorname{H}_0(-;F)_* \colon \operatorname{rep}(X, \mathbf {Top}) \rightarrow \operatorname{rep}(X, \mathbf {Vect}_F)$, or equivalently, of the free functor rep(X,Set)→rep(X,VectF)$\operatorname{rep}(X, \mathbf {Set ...
Ulrich Bauer, Magnus B. Botnan, Steffen Oppermann, Johan Steen   +3 more
wiley   +1 more source

AUTOMORPHISM GROUPS OF FREE GROUPS [PDF]

Journal of the Australian Mathematical Society, 2008
Abstract This note contains some remarks on generating pairs for automorphism groups of free groups. There has been significant use of electronic assistance. Little of this is used to verify the results.
openaire   +3 more sources

Groups with finitely many conjugacy classes and their automorphisms

, 2009
We combine classical methods of combinatorial group theory with the theory of small cancellation over relatively hyperbolic groups to construct finitely generated torsion-free groups that have only finitely many classes of conjugate elements.
Minasyan, Ashot
core   +1 more source