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An Intertwining Number Theorem for Integral Representations and Applications.

Andreas Dress (1970)

Mathematische Zeitschrift

Anneaux d’entiers stablement libres sur $ℤ [H_{8} \times C_{2}]$

Jean Cougnard (1998)

Journal de théorie des nombres de Bordeaux

Le groupe $H_{8} \times C_{2}$ est le plus petit groupe pour lequel existent des modules stablement libres non libres. On montre que toutes les classes d’isomorphisme de tels modules peuvent être représentées une infinité de fois par des anneaux d’entiers. On applique un travail de classification de Swan, pour cela on doit construire explicitement des bases normales d’entiers d’extensions à groupe $H_{8}$ ; cela se fait en liant un critère de Martinet avec une construction de Witt.

Another counterexample to a conjecture of Zassenhaus.

Hertweck, M. (2002)

Beiträge zur Algebra und Geometrie

Coleman automorphisms of finite groups with a self-centralizing normal subgroup

Jinke Hai (2020)

Czechoslovak Mathematical Journal

Let $G$ be a finite group with a normal subgroup $N$ such that $C_{G} (N) \leq N$ . It is shown that under some conditions, Coleman automorphisms of $G$ are inner. Interest in such automorphisms arose from the study of the normalizer problem for integral group rings.

Ein Sylowsatz für endliche p-Untergruppen von GL (n,Z).

Hilde Abold, Wilhelm Plesken (1978)

Mathematische Annalen

Filtrations, Stable Clifford Theory and Group-Graded Rings and Modules.

Morton E. Harris (1987)

Mathematische Zeitschrift

Finite subgroups of ${GL}_{24} (ℚ)$ .

Nebe, Gabriele (1996)

Experimental Mathematics

Fonction de Möbius d'un groupe fini et anneau de Burnside.

Jacques Thévenaz, Charles Kratzer (1984)

Commentarii mathematici Helvetici

G-Actions on Disks and Permuation Representations. II.

Robert Oliver (1977)

Mathematische Zeitschrift

Galois module structure of generalized jacobians.

G. D. Villa-Salvador, M. Rzedowski-Calderón (1997)

Revista Matemática de la Universidad Complutense de Madrid

For a prime number l and for a finite Galois l-extension of function fields L / K over an algebraically closed field of characteristic p <> l, it is obtained the Galois module structure of the generalized Jacobian associated to L, l and the ramified prime divisors. In the cyclic case an implicit integral representation of the Jacobian is obtained and this representation is compared with the explicit representation.

Galois module structure of the rings of integers in wildly ramified extensions

Stephen M. J. Wilson (1989)

Annales de l'institut Fourier

The main results of this paper may be loosely stated as follows.Theorem.— Let $N$ and $N^{'}$ be sums of Galois algebras with group $Γ$ over algebraic number fields. Suppose that $N$ and $N^{'}$ have the same dimension $ℚ$ and that they are identical at their wildly ramified primes. Then (writing $𝒪_{N}$ for the maximal order in $N$ ) $𝒪_{N} \oplus 𝒪_{N} \oplus ℤ Γ ≅_{ℤ Γ} \oplus 𝒪_{N}^{'} \oplus 𝒪_{N^{'}} \oplus ℤ Γ .$ In many cases $𝒪_{N} ≅_{ℤ Γ} 𝒪_{N^{'}} .$ The role played by the root numbers of $N$ and $N^{'}$ at the symplectic characters of $Γ$ in determining the relationship between the $ℤ Γ$ -modules $𝒪_{N}$ and $𝒪_{N^{'}}$ is described. The theorem includes...

Group Rings Whose Units Form an FC-Group.

Sudarshan K. Sehgal, H.J. Zassenhaus (1977)

Mathematische Zeitschrift

Hereditary orders

Irving Reiner (1974)

Rendiconti del Seminario Matematico della Università di Padova

Holonomy groups of flat manifolds with the $R_{\infty}$ property

Rafał Lutowski, Andrzej Szczepański (2013)

Fundamenta Mathematicae

Let M be a flat manifold. We say that M has the $R_{\infty}$ property if the Reidemeister number R(f) is infinite for every homeomorphism f: M → M. We investigate relations between the holonomy representation ρ of M and the $R_{\infty}$ property. When the holonomy group of M is solvable we show that if ρ has a unique ℝ-irreducible subrepresentation of odd degree then M has the $R_{\infty}$ property. This result is related to Conjecture 4.8 in [K. Dekimpe et al., Topol. Methods Nonlinear Anal. 34 (2009)].

Currently displaying 1 – 20 of 38

Page 1 Next

Displaying 1 – 20 of 38

An Intertwining Number Theorem for Integral Representations and Applications.

Anneaux d’entiers stablement libres sur $ℤ [H_{8} \times C_{2}]$

Another counterexample to a conjecture of Zassenhaus.

Coleman automorphisms of finite groups with a self-centralizing normal subgroup

Ein Sylowsatz für endliche p-Untergruppen von GL (n,Z).

Filtrations, Stable Clifford Theory and Group-Graded Rings and Modules.

Finite subgroups of ${GL}_{24} (ℚ)$ .

Fonction de Möbius d'un groupe fini et anneau de Burnside.

G-Actions on Disks and Permuation Representations. II.

Galois module structure of generalized jacobians.

Galois module structure of the rings of integers in wildly ramified extensions

Group Rings Whose Units Form an FC-Group.

Hereditary orders

Holonomy groups of flat manifolds with the $R_{\infty}$ property

Hopf Galois structures on degree $p^{2}$ cyclic extensions of local fields.

Invariants of orthogonal $G$ -modules from the character table.

Isomorphe Gruppenringe lokal endlicher Gruppen.

Isomorphisms of p-adic Group Rings.

Maximal hermitian forms over ...G .

Modules projectifs sur un ordre

Currently displaying 1 – 20 of 38