Finiteness of outer automorphism groups of random right-angled Artin groups

We consider the outer automorphism group Out(A_Gamma) of the right-angled Artin group A_Gamma of a random graph Gamma on n vertices in the Erdos--Renyi model. We show that the functions (log(n)+log(log(n)))/n and 1-(log(n)+log(log(n)))/n bound the range of edge probability functions for which Out(A_Gamma) is finite: if the probability of an edge in Gamma is strictly between these functions as n grows, then asymptotically Out(A_Gamma) is almost surely finite, and if the edge probability is strictly outside of both of these functions, then asymptotically Out(A_Gamma) is almost surely infinite. This sharpens results of Ruth Charney and Michael Farber from their preprint "Random groups arising as graph products", arXiv:1006.3378v1.Comment: 29 pages. Mostly rewritten, results tightened, statements corrected, gaps fille

On the second homology group of the Torelli subgroup of Aut(F_n)

Let IA_n be the Torelli subgroup of Aut(F_n). We give an explicit finite set of generators for H_2(IA_n) as a GL_n(Z)-module. Corollaries include a version of surjective representation stability for H_2(IA_n), the vanishing of the GL_n(Z)-coinvariants of H_2(IA_n), and the vanishing of the second rational homology group of the level l congruence subgroup of Aut(F_n). Our generating set is derived from a new group presentation for IA_n which is infinite but which has a simple recursive form.Comment: 39 pages; minor revision; to appear in Geom. Topo

CHORUSING PATTERNS OF A DIVERSE ANURAN COMMUNITY, WITH AN EMPHASIS ON SOUTHERN CRAWFISH FROGS (LITHOBATES AREOLATUS AREOLATUS)

Wildlife surveys have a critical role in conservation efforts and the collection of life history data. For anuran amphibians these surveys often focus on calling males. In order to further our understanding of anuran ecology, we used automated recording systems to monitor the calling activities of the anuran communities at two beaver-formed lakes and one cattle pond in southeastern Oklahoma. We documented 14 anuran species between 5 February and 28 April 2012. Temperature had a significant effect on the calling patterns of Eastern Narrow-mouthed Toads (Gastrophryne carolinensis), Green Treefrogs (Hyla cinerea), Gray Treefrogs (Hyla versicolor), Southern Crawfish Frogs (Lithobates areolatus areolatus), and Cajun Chorus Frogs (Pseudacris fouquettei). Temperature did not have a significant effect on the calling patterns of Dwarf American Toads (Anaxyrus americanus charlesmithi), American Bullfrogs (Lithobates catesbeianus), or Green Frogs (Lithobates clamitans). There was not a significant relationship between rainfall and calling for L. a. areolatus. The presence of several of these species, including L. a. areolatus and Hurter’s Spadefoots (Scaphiopus hurterii) was unusual because these anurans typically breed in ephemeral, fishless pools, but the beaver lakes are permanent and sustain populations of carnivorous fishes

Symplectic structures on right-angled Artin groups: between the mapping class group and the symplectic group

We define a family of groups that include the mapping class group of a genus g surface with one boundary component and the integral symplectic group Sp(2g,Z). We then prove that these groups are finitely generated. These groups, which we call mapping class groups over graphs, are indexed over labeled simplicial graphs with 2g vertices. The mapping class group over the graph Gamma is defined to be a subgroup of the automorphism group of the right-angled Artin group A_Gamma of Gamma. We also prove that the kernel of the map Aut A_Gamma to Aut H_1(A_Gamma) is finitely generated, generalizing a theorem of Magnus.Comment: 45 page

Rugged pressed disk electrode has low contact potential

Pressed-disk electrode with low contact potential monitors physiological processes. It consists of silver and silver chloride combined with bentonitic clay. The clay affords a surface that permits use over extended periods without contact deterioration

Extensions of Johnson's and Morita's homomorphisms that map to finitely generated abelian groups

We extend each higher Johnson homomorphism to a crossed homomorphism from the automorphism group of a finite-rank free group to a finite-rank abelian group. We also extend each Morita homomorphism to a crossed homomorphism from the mapping class group of once-bounded surface to a finite-rank abelian group. This improves on the author's previous results [Algebr. Geom. Topol. 7 (2007):1297-1326]. To prove the first result, we express the higher Johnson homomorphisms as coboundary maps in group cohomology. Our methods involve the topology of nilpotent homogeneous spaces and lattices in nilpotent Lie algebras. In particular, we develop a notion of the "polynomial straightening" of a singular homology chain in a nilpotent homogeneous space.Comment: 34 page

The communications technology satellite and the associated ground terminals for experiments

General spacecraft operational characteristics of the Communications Technology Satellite are discussed with particular emphasis on communication system parameters. Associated used ground terminals are reviewed. Wideband communications are also discussed

A Birman exact sequence for the Torelli subgroup of Aut(F_n)

We develop an analogue of the Birman exact sequence for the Torelli subgroup of Aut(F_n). This builds on earlier work of the authors who studied an analogue of the Birman exact sequence for the entire group Aut(F_n). These results play an important role in the authors' recent work on the second homology group of the Torelli group.Comment: 31 pages, minor revision; to appear in Int. J. Algebr. Compu