Results 21 to 30 of about 116,475 (312)
Series with Commuting Terms in Topologized Semigroups
We show that the following general version of the Riemann–Dirichlet theorem is true: if every rearrangement of a series with pairwise commuting terms in a Hausdorff topologized semigroup converges, then its sum range is a singleton.
Alberto Castejón +2 more
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Some codes and designs invariant under the groups $S_7$ and $S_8$ [PDF]
We use the Key-Moori Method 1 and examine 1-designs and codes from the representations of the alternating group $A_7$. It is shown that a self-dual symmetric 2-$(35,18,9)$ design and an optimal even binary $[21,14,4]$ LCD code are found such that they ...
Reza Kahkeshani
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Generation modulo the action of a permutation group [PDF]
Originally motivated by algebraic invariant theory, we present an algorithm to enumerate integer vectors modulo the action of a permutation group. This problem generalizes the generation of unlabeled graph up to an isomorphism.
Nicolas Borie
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Quasi-permutation Representations of Borel and Parabolic Subgroups of Steinberg's triality groups [PDF]
If G is a finite linear group of degree n, that is, a finite group of automor-phisms of an n-dimensional complex vector space, or equivalently, a finite group of non-singular matrices of order n with complex coefficients, we shall say that G is a quasi ...
M. Ghorbany
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On Transitive Permutation Groups
AbstractWe assign names and new generators to the transitive groups of degree up to 15, reflecting their structure.
John H. Conway +2 more
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The Dade group of a fusion system. [PDF]
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 +3 more
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On the Group of Alternating Colored Permutations [PDF]
The group of alternating colored permutations is the natural analogue of the classical alternating group, inside the wreath product $\mathbb{Z}_r \wr S_n$. We present a 'Coxeter-like' presentation for this group and compute the length function with respect to that presentation.
Eli Bagno, David Garber, Toufik Mansour
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3-Homogeneous Groups and Block-Transitive 7–(v, k, 3) Designs
The classification of a block-transitive designs is an important subject on algebraic combinatorics. With the aid of MATLAB software, using the classification theorem of 3-homogeneous permutation groups, we look at the classification problem of block ...
Xiaolian Liao, Guohua Chen, Shangzhao Li
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Novel Criteria for Deterministic Remote State Preparation via the Entangled Six-Qubit State
In this paper, our concern is to design some criteria for deterministic remote state preparation for preparing an arbitrary three-particle state via a genuinely entangled six-qubit state.
Gang Xu +5 more
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ON THE SPECTRUM OF DERANGEMENT GRAPHS OF ORDER A PRODUCT OF THREE PRIMES [PDF]
A permutation with no fixed points is called a derangement. The subset $mathcal{D}$ of a permutation group is derangement if all elements of $mathcal{D}$ are derangement.
Modjtaba Ghorbani, Mina Rajabi-Parsa
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