scholarly journals On the order of a non-abelian representation group of a slim dense near hexagon

2008 ◽  
Vol 29 (2) ◽  
pp. 195-213 ◽  
Author(s):  
Binod Kumar Sahoo ◽  
N. S. Narasimha Sastry
Keyword(s):  
Near Hexagon ◽  
Representation Group

The representation group and its application to space groups

1985 ◽  
Vol 57 (1) ◽  
pp. 211-278 ◽  
Author(s):  
Jin-Quan Chen ◽  
Mei-Juan Gao ◽  
Guang-Qun Ma
Keyword(s):  
Space Groups ◽  
Representation Group

scholarly journals The Hyperplanes of the U 4(3) Near Hexagon

2010 ◽  
Vol 26 (5) ◽  
pp. 647-671 ◽  
Author(s):  
Bart De Bruyn ◽  
Sergey Shpectorov
Keyword(s):  
Near Hexagon

scholarly journals The uniqueness of the near hexagon on 729 points

COMBINATORICA ◽  
1982 ◽  
Vol 2 (4) ◽  
pp. 333-340 ◽  
Author(s):  
A. E. Brouwer
Keyword(s):  
Near Hexagon

Clustering Based on NMTF Algorithm

2013 ◽  
Vol 718-720 ◽  
pp. 2365-2369
Author(s):  
Lei Huang ◽  
Chan Le Wu
Keyword(s):  
Parameter Estimation ◽  
Cluster Center ◽  
Data Partition ◽  
Clustering Methods ◽  
Parameter Estimation Problem ◽  
Data Set ◽  
Initial Cluster ◽  
Meaning Representation ◽  
Good Cluster ◽  
Representation Group

NMTF(Normalizing Mapping Training Framework) operates by mapping initial cluster centers and then iteratively training points to clusters base on the proximate cluster center and updating cluster centers. we regard finding good cluster centers as a normalizing parameter estimation problem then constructing the parameters of other normalizing models yields a space of novel clustering methods. In this paper we propose the idea using abstract of a text to members of a data partition in place of estimation of cluster centers. The method can accurately reconstruct meaning representation group used to generate a given data set.

PROJECTIVE CHARACTERS WITH PRIME POWER DEGREES

2018 ◽  
Vol 99 (1) ◽  
pp. 78-82
Author(s):  
YANG LIU
Keyword(s):  
Structural Information ◽  
Character Degrees ◽  
Character Theory ◽  
Induced Representations ◽  
Projective Character ◽  
Projective Representations ◽  
A Finite Group ◽  
The Relationship ◽  
Factor Set ◽  
Representation Group

We consider the relationship between structural information of a finite group $G$ and $\text{cd}_{\unicode[STIX]{x1D6FC}}(G)$, the set of all irreducible projective character degrees of $G$ with factor set $\unicode[STIX]{x1D6FC}$. We show that for nontrivial $\unicode[STIX]{x1D6FC}$, if all numbers in $\text{cd}_{\unicode[STIX]{x1D6FC}}(G)$ are prime powers, then $G$ is solvable. Our result is proved by classical character theory using the bijection between irreducible projective representations and irreducible constituents of induced representations in its representation group.

scholarly journals A thin near hexagon with 50 points

2003 ◽  
Vol 102 (2) ◽  
pp. 293-308 ◽  
Author(s):  
Rieuwert Blok ◽  
Bart De Bruyn ◽  
Ulrich Meierfankenfeld
Keyword(s):  
Near Hexagon

On the universal embedding of the near-hexagon forU 4(3)

1995 ◽  
Vol 56 (1) ◽  
pp. 7-17 ◽  
Author(s):  
Matthew Kirby Bardoe
Keyword(s):  
Universal Embedding ◽  
Near Hexagon

scholarly journals The hyperplanes of the near hexagon on the 2-factors of the complete graph K8

2008 ◽  
Vol 308 (23) ◽  
pp. 5656-5671 ◽  
Author(s):  
Bart De Bruyn ◽  
Harm Pralle
Keyword(s):  
Complete Graph ◽  
Near Hexagon

scholarly journals Matricial Representations of Certain Finitely Presented Groups Generated by Order-2 Generators and Their Applications

2017 ◽  
Vol 14 (3) ◽  
Author(s):  
Ryan Golden ◽  
Ilwoo Cho
Keyword(s):  
Group Algebra ◽  
Free Probability ◽  
Group Presentation ◽  
Lucas Numbers ◽  
Group Relations ◽  
Finitely Presented Groups ◽  
Finitely Presented Group ◽  
Finitely Presented ◽  
Representation Group ◽  
Presentation Group

In this paper, we study matricial representations of certain finitely presented groups Γ2Nwith N-generators of order-2. As an application, we consider a group algebra A2 of Γ22; under our representations. Specifically, we characterize the inverses g-1of all group elements g in Γ22; in terms of matrices in the group algebra A2. From the study of this characterization, we realize there are close relations between the trace of the radial operator of A2; and the Lucas numbers appearing in the Lucas triangle. KEYWORDS: Matricial Representation; Group Presentation; Group Algebras; Lucas Numbers; Lucas Triangle; Finitely Presented Group;Group Relations; Free Probability

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