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Displaying 121 – 140 of 859

The centralizer of a classical group and Bruhat-Tits buildings

Daniel Skodlerack (2013)

Annales de l’institut Fourier

Let $G$ be a unitary group defined over a non-Archimedean local field of odd residue characteristic and let $H$ be the centralizer of a semisimple rational Lie algebra element of $G .$ We prove that the Bruhat-Tits building $𝔅^{1} (H)$ of $H$ can be affinely and $G$ -equivariantly embedded in the Bruhat-Tits building $𝔅^{1} (G)$ of $G$ so that the Moy-Prasad filtrations are preserved. The latter property forces uniqueness in the following way. Let $j$ and $j^{'}$ be maps from $𝔅^{1} (H)$ to $𝔅^{1} (G)$ which preserve the Moy–Prasad filtrations. We prove that...

The centre of a Steiner loop and the maxi-Pasch problem

Andrew R. Kozlik (2020)

Commentationes Mathematicae Universitatis Carolinae

A binary operation “ $\cdot$ ” which satisfies the identities $x \cdot e = x$ , $x \cdot x = e$ , $(x \cdot y) \cdot x = y$ and $x \cdot y = y \cdot x$ is called a Steiner loop. This paper revisits the proof of the necessary and sufficient conditions for the existence of a Steiner loop of order $n$ with centre of order $m$ and discusses the connection of this problem to the question of the maximum number of Pasch configurations which can occur in a Steiner triple system (STS) of a given order. An STS which attains this maximum for a given order is said to be maxi-Pasch. We show that...

The centre of completed group algebras of pro- $p$ groups.

Ardakov, Konstantin (2004)

Documenta Mathematica

The chameleon groups of Richards J. Thompson: automorphisms and dynamics

Matthew G. Brin (1996)

Publications Mathématiques de l'IHÉS

The characterisation of monoids by properties of their S-systems.

V. Gould (1985)

Semigroup forum

The Characterisation of the Suzuki Groups by Their Sylow 2-Subgroups.

Michael J. Collins (1971)

Mathematische Zeitschrift

The Characteristic Subgroups of the Baer-Specker Group.

Rüdiger Göbel (1974)

Mathematische Zeitschrift

The characters of a group of type $X ≀ ℤ_{p}$ .

Revin, D.O. (2004)

Sibirskie Ehlektronnye Matematicheskie Izvestiya [electronic only]

The characters of the group of rational points of a reductive group with non-connected centre.

G.I. Lehrer, J. Michel, F. Digne (1992)

Journal für die reine und angewandte Mathematik

The characters of the hecatonicosahedroidal group.

Larry C. Grove (1974)

Journal für die reine und angewandte Mathematik

The Chern classes modulo $p$ of a regular representation. (Les classes de Chern modulo $p$ d'une représentation régulière.)

Kahn, Bruno (1999)

Documenta Mathematica

The Chow ring of the stack of cyclic covers of the projective line

Damiano Fulghesu, Filippo Viviani (2011)

Annales de l’institut Fourier

In this paper we compute the integral Chow ring of the stack of smooth uniform cyclic covers of the projective line and we give explicit generators.

The classification of finite groups by using iteration digraphs

Uzma Ahmad, Muqadas Moeen (2016)

Czechoslovak Mathematical Journal

A digraph is associated with a finite group by utilizing the power map $f : G \to G$ defined by $f (x) = x^{k}$ for all $x \in G$ , where $k$ is a fixed natural number. It is denoted by $γ_{G} (n, k)$ . In this paper, the generalized quaternion and $2$ -groups are studied. The height structure is discussed for the generalized quaternion. The necessary and sufficient conditions on a power digraph of a $2$ -group are determined for a $2$ -group to be a generalized quaternion group. Further, the classification of two generated $2$ -groups as abelian or non-abelian...

The classification of groups in which every product of four elements can be reordered

Patrizia Longobardi, Mercede Maj, Stewart Stonehewer (1995)

Rendiconti del Seminario Matematico della Università di Padova

The classification of $S^{2} \times ℝ$ space groups.

Farkas, J.Z. (2001)

Beiträge zur Algebra und Geometrie

The classifying topos of a continuous groupoid. II

Ieke Moerdijk (1990)

Cahiers de Topologie et Géométrie Différentielle Catégoriques

The Clebsch-Gordan coefficients with respect to various bases for unitary and orthogonal representations of $SU (2)$ and $SO (3)$ .

Godunov, S.K., Gordienko, V.M. (2004)

Sibirskij Matematicheskij Zhurnal

The cofinality of a band.

F. Pastijn (1985)

Semigroup forum

The cohomology algebras of orientable Seifert manifolds and applications to Lusternik-Schnirelmann category

J. Bryden, P. Zvengrowski (1998)

Banach Center Publications

This note gives a complete description of the cohomology algebra of any orientable Seifert manifold with ℤ/p coefficients, for an arbitrary prime p. As an application, the existence of a degree one map from an orientable Seifert manifold onto a lens space is completely determined. A second application shows that the Lusternik-Schnirelmann category for a large class of Seifert manifolds is equal to 3, which in turn is used to verify the Ganea conjecture for these Seifert manifolds.

The cohomology of period domains for reductive groups over finite fields

Sascha Orlik (2001)

Annales scientifiques de l'École Normale Supérieure

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