Results 11 to 20 of about 5,805 (119)

The Dade group of a fusion system. [PDF]

, 2009
We define the notion of the Dade group of a fusion system and show that some of the gluing and detection results for Dade groups of finite p-groups due to Bouc and Thévenaz in [S. Bouc and J. Thévenaz. Gluing torsion endo-permutation modules. (Preprint.)]
Mazza, Nadia, Linckelmann, M., Linckelmann, Markus, Mazza, N.   +3 more
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Base sizes for simple groups and a conjecture of Cameron [PDF]

, 2009
Let G be a permutation group on a finite set ?. A base for G is a subset B C_ ? whose pointwise stabilizer in G is trivial; we write b(G) for the smallest size of a base for G. In this paper we prove that b(G) ?
Burness, TC, Liebeck, MW, Shalev, A, Liebeck, Martin W., Burness, Timothy C., Shalev, Aner   +5 more
core   +1 more source

New Differentially 4-Uniform Piecewise Permutations over F22k from the Inverse Function

, 2023
Permutations with low differential uniformity, high nonlinearity and high algebraic degree over F22k are preferred substitution boxes in modern block ciphers.
Li Miao, Shuai Li
core   +1 more source

On the existence of block-transitive combinatorial designs [PDF]

, 2010
CombinatoricsInternational audienceBlock-transitive Steiner t-designs form a central part of the study of highly symmetric combinatorial configurations at the interface of several disciplines, including group theory, geometry, combinatorics, coding and ...
Michael Huber, Huber, Michael
core   +1 more source

Block sensitivity of minterm-transitive functions [PDF]

, 2010
Boolean functions with a high degree of symmetry are interesting from a complexity theory perspective: extensive research has shown that these functions, if nonconstant, must have high complexity according to various measures.In a recent work of this ...
Drucker, Andrew, Andrew Drucker
core   +1 more source

Imprimitively generated designs [PDF]

, 2022
2022 Summer.Includes bibliographical references.Designs are a type of combinatorial object which uniformly cover all pairs in a base set V with subsets of V known as blocks.
Betten, Anton, advisor, Adams, Henry, committee member, Lear, Aaron, author, Nielsen, Aaron, committee member   +3 more
core  

Gluing torsion endo-permutation modules [PDF]

Given a finite p-group P, the main result gives necessary and sufficient conditions for obtaining a torsion endo-permutation module for P by gluing a compatible family of torsion endo-permutation modules for all sections N(Q)/Q, where Q runs among non ...
Thévenaz, Jacques, Bouc, Serge
core   +1 more source

Operation of class sums on permutation modules

, 1990
Let G be a finite group and F a finite field. Then the conjugacy class sums form an F-basis of the centre of the group algebra FG and consequently they play an important role in modular representation theory.
Ostermann, T.W., Gollan, H.W.
core   +1 more source

Normalizers of primitive groups with non-regular socles in polynomial time

, 2020
For two groups $G$ and $H$, which are contained in a common overgroup $K$, we call the \emph{normalizer of $G$ in $H$}the subgroup of $H$ consisting of those elements that leave $G$ invariant under conjugation, and denote it by $N_H(G)$.We say that a ...
Siccha, Sergio Christian
core   +1 more source

International Journal of Mathematical Combinatorics, Vol.4A [PDF]

, 2010
The International J.Mathematical Combinatorics (ISSN 1937-1055) is a fully refereed international journal, sponsored by the MADIS of Chinese Academy of Sciences and published in USA quarterly comprising 460 pages approx.
Mao, Linfan (Editor-in-Chief)
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