Results 121 to 130 of about 9,504,920 (193)
On Azumaya algebras with a finite automorphism group
International Journal of Mathematics and Mathematical Sciences, 2001 Let B be a ring with 1, C the center of B, and G a finite automorphism group of B. It is shown that if B is an Azumaya algebra such that B=⊕∑g∈GJg where Jg={b∈B|bx=g(x)b for all x∈B}, then there exist orthogonal central idempotents {fi∈C|i=1,2,…,m ...
George Szeto, Lianyong Xue
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Construction of block designs admitting an Abelian automorphism group
Block design, Automorphism group, Abelian group, Orbit structure, Principal series,
Dean Crnković, Sanja Rukavina
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Characteristic‐free normalized Nash blowup of toric varieties
Journal of the London Mathematical Society, Volume 114, Issue 4, October 2026.Abstract We introduce conditions on cones of normal toric varieties under which the polyhedron defining the normalized Nash blowup does not depend on the characteristic of the base field. As a consequence, we deduce several results on the resolution of singularities properties of normalized Nash blowups.
Federico Castillo +3 more
wiley +1 more source
On the fourth Johnson homomorphism of the automorphism group of a free group
, 2010 In this paper we consider the Johnson homomorphism of the automorphism group of a free group with respect to the lower central series of the IA-automorphism group of a free group.
Satoh, Takao
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Systems of imprimitivity for rank two quaternionic reflection groups
Journal of the London Mathematical Society, Volume 114, Issue 4, October 2026.Abstract We revise the enumeration of the imprimitive rank two quaternionic reflection groups, adding missing groups and establishing isomorphisms between groups in the published tables. The isomorphisms are obtained as a consequence of the determination of the reflection groups with more than one system of imprimitivity.
D. E. Taylor
wiley +1 more source
The group of automorphism of the Fermat curve
Revista Integración, 2016 Pavlos Tzermias en su artí ulo The group of automorphisms of the Fermat urve (ver [7℄), prueba que el grupo de automorfismos de las urvas de Fermat proye tivas en ara terísti a 0 es el produ to semidire to de la suma dire ta de 2 opias del grupo í li o ...
Marby Bolaños Ortiz +2 more
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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
Automorphisms of the Nottingham Group
Journal of Algebra, 2000 Let \(K\) be a finite field of characteristic \(p\). The Nottingham group over \(K\) can be defined as the group \({\mathcal N}(K):=t+t^2K[[t]]\) of normalised power series under substitution. It is a finitely-generated pro-\(p\) group with some interesting properties [see the survey article in the book ``New horizons in pro-\(p\) groups'', Birkhäuser,
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On the detection of knots by their traces in high dimensions
Proceedings of the London Mathematical Society, Volume 133, Issue 4, October 2026.Abstract For every n⩾4$n\geqslant 4$, we demonstrate the existence of non‐isotopic, smooth (n−2)$(n-2)$‐knots in Sn$S^n$ with diffeomorphic traces. We give two proofs: the first by generalising the RBG link construction to all dimensions, and the second as an application of work of Plotnick.
Valentina Bais +10 more
wiley +1 more source
The derivation algebra and automorphism group of the electrical Lie algebra of type D5
上海师范大学学报. 自然科学版In this paper, we mainly investigate the derivation algebra and automorphism group of type D5 electrical Lie algebra. We prove that the outer derivations are four-dimensional, and the automorphism group Aut $\mathcal{L} \cong \mathbb{C}^* \ltimes\left ...
LI Zhiling, SHEN Ran
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