Results 21 to 30 of about 911,714 (247)

Brauer-friendly modules and slash functors [PDF]

, 2013
This paper introduces the notion of Brauer-friendly modules, a generalisation of endo-p-permutation modules. A module over a block algebra OGe is said to be Brauer-friendly if it is a direct sum of indecomposable modules with compatible fusion-stable ...
Biland, Erwan
core   +1 more source

On imprimitive rank 3 permutation groups [PDF]

J. London Math. Soc. (2011) 84 (3): 649-669, Erratum: J. London Math. Soc. (2012) doi: 10.1112/jlms/jdr074, 2010
A classification is given of rank 3 group actions which are quasiprimitive but not primitive. There are two infinite families and a finite number of individual imprimitive examples. When combined with earlier work of Bannai, Kantor, Liebler, Liebeck and Saxl, this yields a classification of all quasiprimitive rank 3 permutation groups.
arxiv   +1 more source

The q-ary image of some qm-ary cyclic codes: permutation group and soft-decision decoding [PDF]

, 2002
Using a particular construction of generator matrices of the q-ary image of qm-ary cyclic codes, it is proved that some of these codes are invariant under the action of particular permutation groups.
Delpeyroux, Emmanuelle, Lacan, Jérôme
core   +1 more source

Trivial source bimodule rings for blocks and p-permutation equivalences [PDF]

, 2009
We associate with any p-block of a finite group a Grothendieck ring of certain p-permutation bimodules. We extend the notion of p-permutation equivalences introduced by Boltje and Xu [4] to source algebras of p-blocks of finite groups.
Linckelmann, M.
core   +1 more source

Splendid and perverse equivalences [PDF]

, 2014
Inspired by the works of Rickard on splendid equivalences and of Chuang and Rouquier on perverse equivalences, we are here interested in the combination of both, a splendid perverse equivalence.
Dreyfus-Schmidt, Léo
core   +1 more source

A New Metric on Symmetric Group and Applications to Block Permutation Codes [PDF]

arXiv, 2021
Permutation codes have received a great attention due to various applications. For different applications, one needs permutation codes under different metrics. The generalized Cayley metric was introduced by Chee and Vu [4] and this metric includes several other metrics as special cases.
arxiv  

The classification of torsion endo-trivial modules

, 2007
This paper is a major step in the classification of endotrivial modules over p-groups. Let G be a finite p-group and k be a field of characteristic p. A kG-module M is an endo-trivial module if {\End_k(M)\cong k\oplus F} as kG-modules, where F is a free ...
Carlson, Jon F., Thevenaz, Jacques
core   +1 more source

On the number of conjugacy classes of a permutation group [PDF]

, 2014
We prove that any permutation group of degree $n \geq 4$ has at most $5^{(n-1)/3}$ conjugacy classes.Comment: 9 ...
Garonzi, Martino, Maróti, Attila
core   +3 more sources

Equivalences between blocks of p-local Mackey algebras [PDF]

, 2014
Let $G$ be a finite group and $(K,\mathcal{O},k)$ be a $p$-modular system. Let $R=\mathcal{O}$ or $k$. There is a bijection between the blocks of the group algebra and the blocks of the so-called $p$-local Mackey algebra $\mu_{R}^{1}(G)$.
Rognerud, Baptiste
core   +2 more sources

On Maximum Contention-Free Interleavers and Permutation Polynomials over Integer Rings [PDF]

, 2005
An interleaver is a critical component for the channel coding performance of turbo codes. Algebraic constructions are of particular interest because they admit analytical designs and simple, practical hardware implementation. Contention-free interleavers
Takeshita, Oscar Y.
core   +2 more sources