Groups with many roots

Given a prime $p$, a finite group $G$ and a non-identity element $g$, what is the largest number of \pth roots $g$ can have? We write $\rho_p(G)$, or just $\rho_p$, for the maximum cardinality of the set $\{x \in G: x^p=g\}$, where $g$ ranges over the non-identity elements of $G$. This paper studies groups for which $\rho_p$ is large. If there is an element $g$ of $G$ with more \pth roots than the identity, then we show $\rho_p(G) \leq \rho_p(P)$, where $P$ is any Sylow $p$-subgroup of $G$, meaning that we can often reduce to the case where $G$ is a $p$-group. We show that if $G$ is a regular $p$-group, then $\rho_p(G) \leq \frac{1}{p}$, while if $G$ is a $p$-group of maximal class, then $\rho_p(G) \leq \frac{1}{p} + \frac{1}{p^2}$ (both these bounds are sharp). We classify the groups with high values of $\rho_2$, and give partial results on groups with high values of $\rho_3$

Combinatorial CRISPR-Cas9 screens for de novo mapping of genetic interactions.

We developed a systematic approach to map human genetic networks by combinatorial CRISPR-Cas9 perturbations coupled to robust analysis of growth kinetics. We targeted all pairs of 73 cancer genes with dual guide RNAs in three cell lines, comprising 141,912 tests of interaction. Numerous therapeutically relevant interactions were identified, and these patterns replicated with combinatorial drugs at 75% precision. From these results, we anticipate that cellular context will be critical to synthetic-lethal therapies

Mind the gap in mindfulness research: A comparative account of the leading schools of thought.

The literature on mindfulness has been dominated by the two leading schools of thought: one advanced by Langer and her colleagues the other developed by Kabat-Zinn and his associates. Curiously, the two strands of research have been running in parallel lines for more than 30 years, scarcely addressing each others’ work, and with hardly any attempt to clarify the relationship between them. In view of this gap, this paper aims to systematically compare and contrast the two lines of research. The comparison between the two schools of thought suggests that while there are some similarities in their definitions of mindfulness, they differ in several core aspects: their philosophies, the components of their constructs, their goals, their theoretical scope, their measurement tools, their conceptual focus, their target audiences, the interventions they employ, the mechanisms underlying these interventions, and the outcomes of their interventions. However, the analysis also revealed that self-regulation is a core mechanism in both perspectives, which seems to mediate the impact of their interventions. In view of the differences between the two strands of research, we propose that they would be given different titles that capture their prime features. We suggest ‘creative-mindfulness’ for Langer and her colleagues’ scholarship, and ‘meditative-mindfulness’ for Kabat-Zinn and his associates’ scholarly work

Untying the text: organizational prosociality and kindness

The scholarly field of organizational prosociality is experiencing a renewed interest, yet despite its long track record, researchers still disagree on the definitions of primary concepts. Two umbrella terms, prosocial behaviors and kindness, are particularly baffling, as they are defined similarly, at times used synonymously, yet the differences between them are unclear. Consequently, the field suffers from conceptual ambiguity, which hampers its development. In this brief critical paper, we provide a review of the definitions of prosocial behavior and kindness, in an attempt to semantically untie the text, unpack the context, and discuss the subtext that underlies these concepts. Our analysis suggests that the two concepts overlap in their emphasis on dispositions and actions that aim to promote the welfare of others. However, acts of kindness and prosocial behaviors differ in actors, their target recipients and scale. Acts of kindness are performed by an individual and directed at a person or a small group, while prosocial behaviors can be performed by a person or an organization, and can be directed at a person or a group, but may also be directed at a much larger entity: an organization, community, nation, or society at large

The work orientation of Israeli State Ambassadors: beyond the call of duty - when work is a 'way of life'

The thesis examines the $work$ $orientation$ of national diplomats. Drawing on in-depth interviews with 57 Israeli State Ambassadors about their careers, this study further refines and develops Wrzesniewski et al.'s (1997) tripartite $work$ $orientation$ model ($job$, $career$, $calling$). Three core categories emerged from the participants' accounts: $calling$, $career$ and $way$ $of$ $life$. Those with a $calling$ orientation assigned $transcendence$ significance to their work, combined with $coherence$ meaning: they perceived their work to be a service to their country, and felt that it was their moral duty to undertake the work, despite the sacrifices it entailed. They also emphasized the fit between their work requirements and their abilities. Those with a $career$ orientation assigned $status$ significance to their work: they derived meaning from their position in the organization, and valued the job security of their career-for-life. The ambassadors who displayed a $way$ $of$ $life$ orientation assigned dominance significance to their work: they referred to the all-consuming nature of their work, and the blurred boundaries between work, family and social life. For them work dominated and dictated both their own and their family's lives

Hematopoietic IKBKE limits the chronicity of inflammasome priming and metaflammation

Obesity increases the risk of developing life-threatening metabolic diseases including cardiovascular disease, fatty liver disease, diabetes, and cancer. Efforts to curb the global obesity epidemic and its impact have proven unsuccessful in part by a limited understanding of these chronic progressive diseases. It is clear that low-grade chronic inflammation, or metaflammation, underlies the pathogenesis of obesity-associated type 2 diabetes and atherosclerosis. However, the mechanisms that maintain chronicity and prevent inflammatory resolution are poorly understood. Here, we show that inhibitor of κB kinase epsilon (IKBKE) is a novel regulator that limits chronic inflammation during metabolic disease and atherosclerosis. The pathogenic relevance of IKBKE was indicated by the colocalization with macrophages in human and murine tissues and in atherosclerotic plaques. Genetic ablation of IKBKE resulted in enhanced and prolonged priming of the NLRP3 inflammasome in cultured macrophages, in hypertrophic adipose tissue, and in livers of hypercholesterolemic mice. This altered profile associated with enhanced acute phase response, deregulated cholesterol metabolism, and steatoheptatitis. Restoring IKBKE only in hematopoietic cells was sufficient to reverse elevated inflammasome priming and these metabolic features. In advanced atherosclerotic plaques, loss of IKBKE and hematopoietic cell restoration altered plaque composition. These studies reveal a new role for hematopoietic IKBKE: to limit inflammasome priming and metaflammation

Down Among The Sugar-Cane

[Verse 1] Down in Lousianna,Where the sugar can grows,Oh Oh my!Lives Miss Susiana,She\u27s the sweetest girl I know,Oh! Oh! my!When my work is over-mongst the sugar caneTo her home I go just at the bend of the lane\u27neath her cabin window I am singing this refrainOh! Oh! my! [Chorus] Can\u27t you see the night am falling?Whippoorwill am singing lowDon\u27t you hear the crickets calling?Calling you and met to goSusie don\u27t you keep me waitingIf you do \u27twill cause me painThe moon am shining, and my heart am piningMeet me down among the sugar cane [Verse 2] \u27Taint no use atalking,There will be a wedding soon,Oh, Oh my!Met her last Decemberand we are goin\u27 to wed in JuneOh, Oh my!Susiana\u27s goin\u27 to be my blushing brideI can see myself a-standing closer by her side\u27deed I\u27ll be happy person when the knot am tiedOh! Oh! my! [Chorus

Making sense of variety in place leadership: the case of England’s smart cities

Making sense of variety in place leadership: the case of England’s smart cities. Regional Studies. There is rising interest in cities becoming ‘smart’ knowledge-oriented economies by prioritizing more digitally enabled modes of production and service delivery. Whilst the prevalence of these new organizational forms is well understood, the way that leadership agency is exercised (i.e., the actors involved and their modalities of action) is not. Drawing on new empirical data and sense-making methodology, the paper reveals discursive patterns in how public agencies, private firms and communities ‘see’ and ‘do’ leadership within these place-based contexts, and concludes that success in exploiting the social and spatial dynamics of ‘smart’ development lies in understanding actors’ assumptions about commercial and social gain

An Experimental Investigation of Colonel Blotto Games

"This article examines behavior in the two-player, constant-sum Colonel Blotto game with asymmetric resources in which players maximize the expected number of battlefields won. The experimental results support all major theoretical predictions. In the auction treatment, where winning a battlefield is deterministic, disadvantaged players use a 'guerilla warfare' strategy which stochastically allocates zero resources to a subset of battlefields. Advantaged players employ a 'stochastic complete coverage' strategy, allocating random, but positive, resource levels across the battlefields. In the lottery treatment, where winning a battlefield is probabilistic, both players divide their resources equally across all battlefields." (author's abstract)"Dieser Artikel untersucht das Verhalten von Individuen in einem 'constant-sum Colonel Blotto'-Spiel zwischen zwei Spielern, bei dem die Spieler mit unterschiedlichen Ressourcen ausgestattet sind und die erwartete Anzahl gewonnener Schlachtfelder maximieren. Die experimentellen Ergebnisse bestätigen alle wichtigen theoretischen Vorhersagen. Im Durchgang, in dem wie in einer Auktion der Sieg in einem Schlachtfeld deterministisch ist, wenden die Spieler, die sich im Nachteil befinden, eine 'Guerillataktik' an, und verteilen ihre Ressourcen stochastisch auf eine Teilmenge der Schlachtfelder. Spieler mit einem Vorteil verwenden eine Strategie der 'stochastischen vollständigen Abdeckung', indem sie zufällig eine positive Ressourcenmenge auf allen Schlachtfeldern positionieren. Im Durchgang, in dem sich der Gewinn eines Schlachtfeldes probabilistisch wie in einer Lotterie bestimmt, teilen beide Spieler ihre Ressourcen gleichmäßig auf alle Schlachtfelder auf." (Autorenreferat