scholarly journals Transitive Avoidance Games on Boards of Odd Size

2021 ◽  
Vol 28 (4) ◽  
Author(s):  
Matthias Gehnen ◽  
Eberhard Triesch
Keyword(s):  
Prime Number ◽  
Board Size ◽  
Positional Games

Avoidance (or misère) games are a type of positional games. Two players alternately claim points of a set $N$ (the `board' of the game). The game is determined by a family $L$ of subsets of $N$ and the following rule: The first player who claims every point of some set in $L$ loses the avoidance game. The game is called transitive if the group of all permutations of $N$ leaving $L$ invariant acts transitively on $N$. Johnson, Leader and Walters show that for a board size which is neither a prime number nor a power of two there are transitive avoidance games where the first player can force his win. For primes of size at least $17$, the corresponding problem remained open. We are going to close this gap and prove that for all primes $n$ of size at least $17$ there are also transitive avoidance games with board size $n$ where the first player can force his win.

Impact of Corporate Governance on the Cash Holding of the Firms: An Empirical Study of Indian Manufacturing Sector

GIS Business ◽  
2017 ◽  
Vol 12 (4) ◽  
pp. 47-52
Author(s):  
Karam Pal Narwal ◽  
Sonia Jindal
Keyword(s):  
Corporate Governance ◽  
Audit Committee ◽  
Manufacturing Sector ◽  
Control Variable ◽  
Cash Holding ◽  
Executive Directors ◽  
Control Effect ◽  
Board Size ◽  
Indian Manufacturing Sector ◽  
The Impact

The paper empirically examines the impact of corporate governance on the cash holding of the firms. The components of corporate governance are measured by board size, board meeting, audit committee members, directors remuneration and non executive directors and the cash holding is measured with the log of average cash and size is taken as control variable for the control effect on the dependent variables. Moreover, correlation and panel regression model were employed to examine the relationship between the corporate governance and cash holding. Empirical data was collected from 96 firms over the period of 2004-05 to 2013-14. The results show that directors remuneration and the number of audit committee members positively influence the cash holding and the board size also positively influences the cash holding whereas, the non executive directors and the board meetings do not play any role in enhancing the cash holding.

Impact of corporate governance on financial performance of sugar sector firms listed in Pakistan stock exchange

2019 ◽  
Vol 12 (2) ◽  
Author(s):  
Muhammad Wasim Jan Khan ◽  
Usman Saeed
Keyword(s):  
Developing Countries ◽  
Corporate Governance ◽  
Financial Performance ◽  
Firm Size ◽  
Stock Exchange ◽  
Balance Sheet ◽  
Board Size ◽  
Return On Equity ◽  
Firm Financial Performance ◽  
Relationship Of

Corporate governance is considered as environment of trust, set of processes, policies and laws affecting the way corporations are administrated and directed. The previous literature in context of the corporate governance relationship with firm financial performance shows controversial findings; similarly literature shows lack of studies in context of developing countries as Pakistan. Therefore, this research explores the relationship of the corporate governance and the firm financial performance in context of developing country as Pakistan. The data has been collected from the sugar sector listed in KSE (Pakistan Stock Exchange), 20 corporations are selected as sample from sugar sector on basis of outstanding shares. Corporate governance taken as independent variable and measured as CEO biformity (CB), board size (BS), firm age (FA), firm size (FS). Financial performance of firms taken as dependent variable and measured as return on asset (ROA), return on equity (ROE), net profit margin (NPM). Data is collected for period of 2000-2013 from reports of the sugar companies listed in KSE (Pakistan Stock Exchange) issued annually and analysis of balance sheet given by State Bank of Pakistan (SBP). Result shows that CEO biformity significantly affecting firm financial performance. Board size (BS) shows partially significant impact on firm financial performance. Firms age (FA) show partially significant impact on firm financial performance. Firm size (FS) shows partially significant impact on firm financial performance. Therefore, conclusion has been drawn based on the results of analysis that this study adds new knowledge to the existing body of knowledge of corporate governance impact on firm financial performance and in context of developing countries as Pakistan. Keywords: Corporate governance, firm financial performance, sugar sector, Pakistan.

Access, Common Agency, and Board Size

2004 ◽  
Author(s):  
Rajesh K. Aggarwal ◽  
Dhananjay Nanda
Keyword(s):  
Common Agency ◽  
Board Size

scholarly journals Sign changes in the prime number theorem

2021 ◽  
Author(s):  
Thomas Morrill ◽  
Dave Platt ◽  
Tim Trudgian
Keyword(s):  
Prime Number ◽  
Prime Number Theorem ◽  
Sign Changes

3126. A Prime Number Conjecture

1965 ◽  
Vol 49 (369) ◽  
pp. 299
Author(s):  
T. Mitsopoulos
Keyword(s):  
Prime Number

Pointwise bound for ℓ-torsion in class groups: Elementary abelian extensions

2020 ◽  
Vol 0 (0) ◽  
Author(s):  
Jiuya Wang
Keyword(s):  
Galois Group ◽  
Prime Number ◽  
Finite Groups ◽  
Upper Bound ◽  
Abelian Groups ◽  
Class Groups ◽  
Abelian Extensions ◽  
Pointwise Bound ◽  
First Case

AbstractElementary abelian groups are finite groups in the form of {A=(\mathbb{Z}/p\mathbb{Z})^{r}} for a prime number p. For every integer {\ell>1} and {r>1}, we prove a non-trivial upper bound on the {\ell}-torsion in class groups of every A-extension. Our results are pointwise and unconditional. This establishes the first case where for some Galois group G, the {\ell}-torsion in class groups are bounded non-trivially for every G-extension and every integer {\ell>1}. When r is large enough, the unconditional pointwise bound we obtain also breaks the previously best known bound shown by Ellenberg and Venkatesh under GRH.

Board Characteristics and Firm Performance: Indian Textiles Sector Panorama

2021 ◽  
pp. 0258042X2110261
Author(s):  
Mukesh Nepal ◽  
Rajat Deb
Keyword(s):  
Firm Performance ◽  
Positive Association ◽  
Policy Implications ◽  
Board Independence ◽  
Board Size ◽  
Significant Positive Association ◽  
Jel Codes ◽  
Financial Measures ◽  
Panel Data Regression ◽  
Data Regression

The study has attempted to examine whether the board size and board independence have any impact on the financial performances of the Indian textile firms. Accessing the data of the 40 sample firms representing the top 100 BSE-listed textile firms during the timeline 2015–2019 and applying the panel data regression model, it has assessed the impacts. Accounting- and market-based financial measures have been proxied, and a significant positive association between the board size and firm performance has been established. Interestingly, a significant inverse relationship between the board independence and financial performance has also been indicated. It has concurred policy implications as the inclusion of more number of board members would likely to increase the firm performance. Moreover, for improving the sound decision-making, firms may chalk out a policy with capping on the engagement of independent directors in other firms. It has acknowledged a few limitations and has sketched a roadmap for posterior studies as well. JEL Codes: G28, G30, M40

scholarly journals The restricted Burnside problem for Moufang loops

2021 ◽  
pp. 1-11
Author(s):  
ALEXANDER GRISHKOV ◽  
LIUDMILA SABININA ◽  
EFIM ZELMANOV
Keyword(s):  
Prime Number ◽  
Burnside Problem ◽  
Moufang Loops ◽  
Restricted Burnside Problem ◽  
Positive Integers

Abstract We prove that for positive integers $m \geq 1, n \geq 1$ and a prime number $p \neq 2,3$ there are finitely many finite m-generated Moufang loops of exponent $p^n$ .

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