Results 61 to 70 of about 21,501,912 (352)
Free groups and Stallings' folding
, 2023 In the present work we investigate various aspects of free groups and their automorphisms, utilizing Stallings' folding techniques introduced in 1983. These techniques have provided new insights into several classical results and have been widely applied
Ascari, Dario
core +2 more sources
On the free profinite products of profinite groups with commuting subgroups [PDF]
International Journal of Group Theory, 2016 In this paper we introduce the construction of free profinite products of profinite groups withcommuting subgroups. We study a particular case: the proper free profinite products of profinite groups with commuting subgroups.
Gilbert Mantika, Daniel Tieudjo
doaj
Limit groups as limits of free groups: compactifying the set of free groups
, 2004 We give a topological framework for the study of Sela's limit groups: limit groups are limits of free groups in a compact space of marked groups. Many results get a natural interpretation in this setting. The class of limit groups is known to coincide with the class of finitely generated fully residually free groups. The topological approach gives some
Champetier, Christophe +1 more
openaire +3 more sources
Finite automata for Schreier graphs of virtually free groups [PDF]
, 2011 The Stallings construction for f.g. subgroups of free groups is generalized by introducing the concept of Stallings section, which allows efficient computation of the core of a Schreier graph based on edge folding. It is proved that the groups that admit
Pedro V. Silva +2 more
semanticscholar +1 more source
FEBS Letters, EarlyView.Enteropathogenic E. coli (EPEC) infects the human intestinal epithelium, resulting in severe illness and diarrhoea. In this study, we compared the infection of cancer‐derived cell lines with human organoid‐derived models of the small intestine. We observed a delayed in attachment, inflammation and cell death on primary cells, indicating that host ...
Mastura Neyazi +5 more
wiley +1 more source
Freedom from within : seeking generating sets for free groups [PDF]
, 2014 Since the 1870's, mathematicians have had only one real tool to help identify when a group contains free subgroups: the Klein Criterion. While powerful and elegant, there are cases when this theorem does not prove helpful.
NC DOCKS at Western Carolina University +1 more
core
On Cayley graphs of virtually free groups [PDF]
Groups Complex. Cryptol., 2009 In 1985, Dunwoody showed that finitely presentable groups are accessible. Dunwoody's result was used to show that context-free groups, groups quasi-isometric to trees or finitely presentable groups of asymptotic dimension 1 are virtually free.
Yago Antolín
semanticscholar +1 more source
Organoids in pediatric cancer research
FEBS Letters, EarlyView.Organoid technology has revolutionized cancer research, yet its application in pediatric oncology remains limited. Recent advances have enabled the development of pediatric tumor organoids, offering new insights into disease biology, treatment response, and interactions with the tumor microenvironment.
Carla Ríos Arceo, Jarno Drost
wiley +1 more source
Automorphism groups of free groups, surface groups and free abelian groups
, 2005 The group of 2-by-2 matrices with integer entries and determinant $\pm > 1$ can be identified either with the group of outer automorphisms of a rank two free group or with the group of isotopy classes of homeomorphisms of a 2-dimensional torus. Thus this group is the beginning of three natural sequences of groups, namely the general linear groups ${\
Bridson, Martin R, Vogtmann, Karen
openaire +2 more sources
Phosphatidylinositol 4‐kinase as a target of pathogens—friend or foe?
FEBS Letters, EarlyView.This graphical summary illustrates the roles of phosphatidylinositol 4‐kinases (PI4Ks). PI4Ks regulate key cellular processes and can be hijacked by pathogens, such as viruses, bacteria and parasites, to support their intracellular replication. Their dual role as essential host enzymes and pathogen cofactors makes them promising drug targets.
Ana C. Mendes +3 more
wiley +1 more source