scholarly journals Right-angled Artin group boundaries

2020 ◽  
pp. 1
Author(s):  
Michael Ben-Zvi ◽  
Robert Kropholler
Keyword(s):  
Artin Group ◽  
Group Boundaries

scholarly journals A Cornish revival? The nascent iconization of a post-obsolescent language

2020 ◽  
Vol 6 (1) ◽  
Author(s):  
Stuart Dunmore
Keyword(s):  
Eighteenth Century ◽  
Great Britain ◽  
Native Speakers ◽  
Language Shift ◽  
Historical Record ◽  
Sociological Research ◽  
Social Constructions ◽  
Group Level ◽  
Group Boundaries ◽  
South West

AbstractThis article considers the case of Cornish, a Celtic language that was in decline in the south-west of Great Britain from the early medieval era until the end of the eighteenth century, when its last recorded native speakers died out. At the point when a language under pressure eventually succumbs to forces of language shift, its role in representations of a distinct sociocultural identity might be expected to die with the medium itself. Yet a sense of cohesion at the group level has been observed to endure long after a shift to another language has occurred, with the obsolescent variety retaining a role in the maintenance of group boundaries. In situations of language shift, the meanings of such social constructions can change considerably, and the obsolescent variety may retain ideological associations with the group as an iconized symbol of identity. The analysis presented in this paper is based on an examination of the historical record as well as a synthesis of recent sociological research on Cornish. Attention will be drawn specifically to the manner in which the language has functioned as an icon of identity since the nadir of its decline as a spoken vernacular, through the ‘Cornish Revival’ of the twentieth century to the present day.

scholarly journals Graphical splittings of Artin kernels

2020 ◽  
Vol 0 (0) ◽  
Author(s):  
Enrique Miguel Barquinero ◽  
Lorenzo Ruffoni ◽  
Kaidi Ye
Keyword(s):  
Free Group ◽  
Artin Group ◽  
Artin Groups ◽  
Graphs Of Groups ◽  
Underlying Graph ◽  
Block Graphs ◽  
Right Angled Artin Groups

Abstract We study Artin kernels, i.e. kernels of discrete characters of right-angled Artin groups, and we show that they decompose as graphs of groups in a way that can be explicitly computed from the underlying graph. When the underlying graph is chordal, we show that every such subgroup either surjects to an infinitely generated free group or is a generalized Baumslag–Solitar group of variable rank. In particular, for block graphs (e.g. trees), we obtain an explicit rank formula and discuss some features of the space of fibrations of the associated right-angled Artin group.

On a conjecture in Artin groups

2021 ◽  
pp. 1-25
Author(s):  
Arye Juhász
Keyword(s):  
Artin Group ◽  
Two Dimensional ◽  
Artin Groups ◽  
Small Cancellation ◽  
Small Cancellation Theory ◽  
Infinite Type ◽  
Trivial Center

It is conjectured that an irreducible Artin group which is of infinite type has trivial center. The conjecture is known to be true for two-dimensional Artin groups and for a few other types of Artin groups. In this work, we show that the conjecture holds true for Artin groups which satisfy a condition stronger than being of infinite type. We use small cancellation theory of relative presentations.

Ethnic Distinctions, Legal Connotations: Chinese Patterns of Boundary Making and Crossing

SAGE Open ◽  
2021 ◽  
Vol 11 (3) ◽  
pp. 215824402110439
Author(s):  
Byung-Ho Lee
Keyword(s):  
18Th Century ◽  
Customary Law ◽  
Chinese Society ◽  
Self Identity ◽  
Group Boundaries ◽  
Individual Agency ◽  
Legal Standards ◽  
Boundary Making ◽  
Personal Law

This study analyzes, from a comparative and historical perspective, the clash between state statutory law and native customary law and the consequential effects of that rivalry on ethno-legal categories. It adopts a long-term perspective on Chinese society, with a particular focus on its history over the last three centuries. Although the imperial Chinese state had a centralized legal code, many non-Han subjects followed different legal standards and systems. Such conditions became the basis of legal pluralism and the structural constraint for full-fledged legal uniformity. It is argued that state-imposed ethnic categories in China have been institutionalized to determine those who should be protected, or even privileged, by their own native law. This is especially true during the alien dynasties of conquest, which purposely emphasized the principle of personal law to preserve legal prerogatives of ruling ethnicity. Similarly, indigenes on the frontier carried a variety of legal exemptions on grounds of the principle of territorial law. Such conditions could leave room for individual agency and provide incentives for both acculturated Han settlers and sinicized indigenes to claim native status. Several examples, including an 18th-century homicide case in China’s southwestern frontier, substantiate how individuals manipulated their ethnicity for their self-advantage and how these behaviors complicated the personality and territoriality principles of imperial law. In this sense, ethnic law served as an institutionalized distillation of ethnic group boundaries, which were realigned by shifts in self-identity. The legacy of China’s imperial practices of particularistic jural relations continues today.

Transference occurs across group boundaries

2010 ◽  
Vol 46 (6) ◽  
pp. 1067-1073 ◽  
Author(s):  
Michael W. Kraus ◽  
Serena Chen ◽  
Victoria A. Lee ◽  
Laura D. Straus
Keyword(s):  
Group Boundaries

scholarly journals AUTOMORPHISMS OF PARTIALLY COMMUTATIVE GROUPS II: COMBINATORIAL SUBGROUPS

2012 ◽  
Vol 22 (07) ◽  
pp. 1250074 ◽  
Author(s):  
ANDREW J. DUNCAN ◽  
VLADIMIR N. REMESLENNIKOV
Keyword(s):  
Automorphism Group ◽  
Decomposition Theorem ◽  
Direct Decomposition ◽  
Connected Components ◽  
Artin Group ◽  
Special Case

We define several "standard" subgroups of the automorphism group Aut (G) of a partially commutative (right-angled Artin) group and use these standard subgroups to describe decompositions of Aut (G). If C is the commutation graph of G, we show how Aut (G) decomposes in terms of the connected components of C: obtaining a particularly clear decomposition theorem in the special case where C has no isolated vertices. If C has no vertices of a type we call dominated then we give a semi-direct decomposition of Aut (G) into a subgroup of locally conjugating automorphisms by the subgroup stabilizing a certain lattice of "admissible subsets" of the vertices of C. We then characterize those graphs for which Aut (G) is a product (not necessarily semi-direct) of two such subgroups.

scholarly journals Preference for hierarchy is associated with reduced empathy and increased counter-empathy towards others, especially out-group targets

2019 ◽  
Author(s):  
Sa-kiera Tiarra Jolynn Hudson ◽  
Mina Cikara ◽  
Jim Sidanius
Keyword(s):  
Social Dominance ◽  
Group Membership ◽  
Social Dominance Orientation ◽  
Group Setting ◽  
Group Boundaries ◽  
The World ◽  
History Of ◽  
Group Members ◽  
Prejudicial Attitudes ◽  
Status Differences

The capacity to empathize with others facilitates prosocial behavior. People’s willingness and capacity to empathize, however, is often contingent upon the target’s group membership – people are less empathic towards those they categorize as out-group members. In competitive or threatening intergroup contexts, people may even feel pleasure (counter-empathy) in response to out-group members’ misfortunes. Social dominance orientation (SDO), or the extent to which people prefer and promote group-based inequalities, is an ideological variable that is associated with a competitive view of the world, increased prejudicial attitudes, and decreased empathy. Thus, higher levels of SDO should be associated with reduced empathy and increased counter-empathy in general, but especially towards those whose subjugation maintains group inequalities. Across three studies we show that among White individuals, higher SDO levels are associated with less empathy, and more counter-empathy in response to others’ good and bad fortunes. More importantly, these reductions in empathy and increases in schadenfreude as a function of SDO were significantly stronger for Asian and Black targets than for in-group White targets when group boundaries were made salient prior to the empathy ratings. Finally, in a fourth study we show that this phenomenon is not dependent upon a history of status differences: higher SDO scores were associated with decreased empathy and increased counter-empathy for competitive out-group (relative to in-group) targets in a novel group setting. We discuss implications of these effects for hierarchy maintenance.

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