scholarly journals Conjugacy Classes ofP-Cycles of Type D in Alternating Groups

2014 ◽  
Vol 42 (10) ◽  
pp. 4426-4434 ◽  
Author(s):  
Fernando Fantino
Keyword(s):  
Conjugacy Classes ◽  
Alternating Groups ◽  
Type D

scholarly journals The Energy of Conjugacy Classes Graphs of Some Order of Alternating Groups

2020 ◽  
Vol 7 (4) ◽  
pp. 62-71
Author(s):  
Zuzan Naaman Hassan ◽  
Nihad Titan Sarhan
Keyword(s):  
Conjugacy Class ◽  
Adjacency Matrix ◽  
Finite Graph ◽  
Conjugacy Classes ◽  
Alternating Group ◽  
Alternating Groups ◽  
Eigen Values ◽  
Finite Set ◽  
Class Graph ◽  
Square Matrix

The energy of a graph , is the sum of all absolute values of the eigen values of the adjacency matrix which is indicated by . An adjacency matrix is a square matrix used to represent of finite graph where the rows and columns consist of 0 or 1-entry depending on the adjacency of the vertices of the graph. The group of even permutations of a finite set is known as an alternating group  . The conjugacy class graph is a graph whose vertices are non-central conjugacy classes of a group , where two vertices are connected if their cardinalities are not coprime. In this paper, the conjugacy class of alternating group  of some order for   and their energy are computed. The Maple2019 software and Groups, Algorithms, and Programming (GAP) are assisted for computations.

Conjugacy classes in alternating groups

Resonance ◽  
2004 ◽  
Vol 9 (9) ◽  
pp. 74-78 ◽  
Author(s):  
Anjana Khurana ◽  
Dinesh Khurana
Keyword(s):  
Conjugacy Classes ◽  
Alternating Groups

On the characters of the Weyl group of type D

1975 ◽  
Vol 77 (2) ◽  
pp. 259-264 ◽  
Author(s):  
S. J. Mayer
Keyword(s):  
Weyl Group ◽  
Lie Algebras ◽  
Conjugacy Classes ◽  
Weyl Groups ◽  
Unified Theory ◽  
Reflection Groups ◽  
Type D ◽  
Common Structure ◽  
Principal Character ◽  
Similar Development

This paper is a continuation of (2), (3) in the development of a unified theory of the characters of the Weyl groups of the simple Lie algebras using their common structure as reflection groups; compare Carter (1) for a similar development for the conjugacy classes. We look at the Weyl group of type D, which is a subgroup of index two in the Weyl group of type C. It was first studied by Young (4), but rather less is known about the characters of this group than those of types A and C. Indeed, the situation is rather more complicated, but we are able to give, as before, an algorithm to determine irreducible constituents of the principal character of a Weyl subgroup induced up to the whole group. We shall also study the case where the rank of the Weyl group is even, when extra irreducible characters may arise, and after constructing these, we shall state some results on their occurrence in the induced principal character.

The Type D Construct

2014 ◽  
Vol 30 (4) ◽  
pp. 283-288 ◽  
Author(s):  
Gesine Grande ◽  
Matthias Romppel ◽  
Matthias Michal ◽  
Elmar Brähler
Keyword(s):  
Social Functioning ◽  
Negative Affectivity ◽  
Population Based ◽  
Type D Personality ◽  
Social Orientation ◽  
German Population ◽  
Social Competencies ◽  
Social And Emotional ◽  
Type D ◽  
Worse Prognosis

The interaction of negative affectivity (NA) and social inhibition (SI), known as the Type D personality, is associated with a worse prognosis in cardiac patients. Until now, causal models have been speculative, and this is partly due to a lack of clarity related to the validity of SI, its role in emotion regulation, and the postulated independence of social and emotional functioning. To examine the construct validity of the Type D personality, we analyzed associations of NA and SI with different measures of affectivity, social anxiety, and social competencies in a German population-based representative sample (n = 2,495). Both NA and SI were associated with all other measures of social functioning and negative affect (all rs > .30) and showed considerable cross-loadings (NA: a 1 = .39, a 2 = .63; SI: a1 = .73 and a2 = .34) in a two-factor solution with the factors labeled as Social Functioning and Negative Affectivity. The SI subscale did not properly differentiate between social fears and social competencies, which emerged as rather different aspects of social functioning. Further studies should examine the effect of broader dimensions of social orientation and competencies and their interaction with NA on cardiac prognosis.

Illness Perception and Its Changes During Six Months After Cardiac Rehabilitation

2019 ◽  
Vol 26 (3) ◽  
pp. 90-100
Author(s):  
Justė Lukoševičiūtė ◽  
Kastytis Šmigelskas
Keyword(s):  
New York ◽  
Social Factors ◽  
Nyha Class ◽  
Illness Perception ◽  
Heart Association ◽  
Class Iii ◽  
Cognitive Representations ◽  
Coronary Syndrome ◽  
Type D ◽  
New York Heart Association

Abstract. Illness perception is a concept that reflects patients' emotional and cognitive representations of disease. This study assessed the illness perception change during 6 months in 195 patients (33% women and 67% men) with acute coronary syndrome, taking into account the biological, psychological, and social factors. At baseline, more threatening illness perception was observed in women, persons aged 65 years or more, with poorer functional capacity (New York Heart Association [NYHA] class III or IV) and comorbidities ( p < .05). Type D personality was the only independent factor related to more threatening illness perception (βs = 0.207, p = .006). At follow-up it was found that only self-reported cardiovascular impairment plays the role in illness perception change (βs = 0.544, p < .001): patients without impairment reported decreasing threats of illness, while the ones with it had a similar perception of threat like at baseline. Other biological, psychological, and social factors were partly associated with illness perception after an acute cardiac event but not with perception change after 6 months.

Does Type D predict vital exhaustion in heart failure patients?

2006 ◽  
Author(s):  
H. J. Michielsen ◽  
O. R. F. Smith ◽  
A. A. Schiffer ◽  
J. Denollet
Keyword(s):  
Heart Failure ◽  
Heart Failure Patients ◽  
Vital Exhaustion ◽  
Type D
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