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Cosets of Sylow p-subgroups and a Question of Richard Taylor
[article]

2012
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arXiv
*
pre-print

We prove that for any prime

arXiv:1208.5283v1
fatcat:ia2sc4c6l5fb5jde3zx3rfdsyi
*p*there exist infinitely many finite simple groups G with a coset xP of a Sylow*p*-subgroup*P*of G such that every element of xP has order divisible by*p*. ... John Thompson proved this for*p*=2 in 1967 answering a question of Lowell Paige. This result is used to answer a question of Richard Taylor on adequate representations. ...*Guralnick*was partially supported by the NSF grant DMS-1001962 and Simons Foundation fellowship 224965. Our method is similar to the one used by Thompson. ...##
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Surjective word maps and Burnsides p^aq^b theorem
[article]

2015
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arXiv
*
pre-print

4 (q) ℓ(

arXiv:1505.00718v1
fatcat:f6sv3ikycfdvnlblqclcaazxba
*p*, 12f ) ℓ(*p*, 12f ) F 4 (q) ℓ(*p*, 12f ) ℓ(*p*, 8f ) E 6 (q) sc ℓ(*p*, 9f ) ℓ(*p*, 8f ) 2 E 6 (q) sc ℓ(*p*, 18f ) ℓ(*p*, 8f ) E 7 (q) sc ℓ(*p*, 18f ) ℓ(*p*, 7f ) E 8 (q) ℓ(*p*, 24f ) ℓ(*p*, 20f ) Table 1 . ... If*p*is a prime dividing |z|, then*p*|(q − ǫ), whence*p*|(q 2 − 1) and*p*≤ q + 1 ≤ Q. Thus q m − 1 q 2 − 1*p*= m 2*p*≥ ((q − ǫ)*p*) k+1 , so |T 1 | |z|*p*≥ ((q − ǫ)*p*) k ≥*p*k . ...##
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BioGeomancer: Automated Georeferencing to Map the World's Biodiversity Data

2006
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PLoS Biology
*

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Rational rigidity for

2014
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Compositio Mathematica
*

AbstractWe prove the existence of certain rationally rigid triples in${E}_{8}(

doi:10.1112/s0010437x14007271
fatcat:k7pneymiujfuhja3f23u5lcqtm
*p*)$for good primes$*p*$(i.e. ... $*p*>5$) thereby showing that these groups occur as Galois groups over the field of rational numbers. ...*Guralnick*and G. ...##
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No general relationship between mass and temperature in endothermic species

2018
*
eLife
*

To test if Bergmann's rule can be extended to many species, Riemer,

doi:10.7554/elife.27166
pmid:29313491
pmcid:PMC5760208
fatcat:gvjidv54cjdjflxqqiu3jos2x4
*Guralnick*, and White assessed the relationship between temperature and body mass for 952 bird and mammal species. ... In addition to other trait information, mass has recently been extracted and converted to a more usable form from Darwin Core formatted records published in VertNet (*Guralnick*et al., 2016) . ...##
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Rational rigidity for F4(p)

2016
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Advances in Mathematics
*

We prove the existence of certain rationally rigid triples in F_4(

doi:10.1016/j.aim.2016.07.015
fatcat:cnd5av5i7zcw5cvy562yu23tz4
*p*) for good primes*p*(i.e.,*p*>3), thereby showing that these groups occur as regular Galois groups over Q(t) and so also over Q. ... In the present paper we show that F 4 (*p*) occur as Galois groups over Q for all good primes*p*. In [7] , a similar result was proved by*Guralnick*and Malle for E 8 (*p*). ... (of the theorem) (1) Let x ∈ C 1 ∩ F 4 (*p*), y ∈ C 2 ∩ F 4 (*p*) and z ∈ C 3 ∩ F 4 (*p*). ...##
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Museum Collections Data and Online Mapping Applications

2003
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Mountain Research and Development
*

Neufeld

doi:10.1659/0276-4741(2003)023[0334:mcdaom]2.0.co;2
fatcat:nmnkez5hpjeu7kazdl6gm6y6ja
*Robert**P*.*Guralnick**Robert*Glaubitz J. ...##
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Anthropogenic noise weakens territorial response to intruder's songs

2016
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Ecosphere
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The best model for PC2 fly included a fixed effect for amplitude of background noise levels (β = 0.075 ± 0.024 SE; 4b) and performed better in the LRT than the null (χ 2 = 8.424, df = 1,

doi:10.1002/ecs2.1259
fatcat:asaqu2zylvhevcusd5dhxqwapy
*P*= 0.004). ... both background noise amplitude (β = −0.051 ± 0.020 SE; Fig. 4a ) and species (β = 1.134 ± 0.269 SE; Fig. 4a ) and fit the data better than the null model with random effects (χ 2 = 18.719, df = 2,*P*...##
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Opportunistically collected photographs can be used to estimate large-scale phenological trends
[article]

2019
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bioRxiv
*
pre-print

Acknowledgments This research was supported by the Gordon and Betty Moore Foundation's Data-Driven Discovery Initiative through Grant GBMF4563 to Ethan

doi:10.1101/794396
fatcat:fuognj2vxbg5npygm5jfbg65uy
*P*. White. ... The Weibull distribution can model a large range of shapes, and is commonly used to used to estimate the start or end of a process (*Roberts*and Solow, 2003; Pearse et al., 2017) . ...##
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The geospatial data quality REST API for primary biodiversity data

2016
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Bioinformatics
*

Introduction Primary Biodiversity Data (PBD) are the most basic and interpretation-free pieces of information upon which most biodiversity studies are built (

doi:10.1093/bioinformatics/btw057
pmid:26833340
pmcid:PMC4892415
fatcat:nhqqyqclnbcatnnicp7bw5et3q
*Guralnick*and Hill, 2009) . ...##
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Towards a collaborative, global infrastructure for biodiversity assessment

2007
*
Ecology Letters
*

*P*.

*Guralnick*, A. W. Hill and M. Lane Idea and Perspective Ó 2007 Blackwell Publishing Ltd/CNRS Ó 2007 Blackwell Publishing Ltd/CNRS R.

*P*.

*Guralnick*, A. W. Hill and M. ...

*P*.

*Guralnick*, A. W. Hill and M. Lane Idea and Perspective Ó 2007 Blackwell Publishing Ltd/CNRS R.

*P*.

*Guralnick*, A. W. Hill and M. Lane Idea and Perspective Ó 2007 Blackwell Publishing Ltd/CNRS ...

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Systematics Agenda 2020: The Mission Evolves

2012
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Systematic Biology
*

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On the commuting probability of p-elements in a finite group
[article]

2022
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arXiv
*
pre-print

This bound is best possible in the sense that for each prime

arXiv:2112.08681v2
fatcat:2hhpeoaqu5d5fd2p4dxm2egnui
*p*there are groups with Pr_p(G) = (*p*^2+*p*-1)/*p*^3 and we classify all such groups. ... In this paper we prove that Pr_p(G) > (*p*^2+*p*-1)/*p*^3 if and only if G has a normal and abelian Sylow*p*-subgroup, which generalizes previous results on the widely studied commuting probability of a finite ... We now compute |C G (x)*p*| = (*p*3 −*p*2 )r*p*+*p*2 , |G*p*| = (*p*3 −*p*2 )r*p*+ (*p*4 −*p*3 )r*p*−1 +*p*2 . (9) This follows by counting the*p*-elements in each coset V h of V , noting that if h centralizes ...##
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aTRAM 2.0: An Improved, Flexible Locus Assembler for NGS Data

2018
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Evolutionary Bioinformatics
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Massive strides have been made in technologies for collecting genome-scale data. However, tools for efficiently and flexibly assembling raw outputs into downstream analytical workflows are still nascent. aTRAM 1.0 was designed to assemble any locus from genome sequencing data but was neither optimized for efficiency nor able to serve as a single toolkit for all assembly needs. We have completely re-implemented aTRAM and redesigned its structure for faster read retrieval while adding a number of

doi:10.1177/1176934318774546
pmid:29881251
pmcid:PMC5987885
fatcat:ng5b7wghybcdngggrqhkalc4q4
## more »

... key features to improve flexibility and functionality. The software can now (1) assemble single-or paired-end data, (2) utilize both read directions in the database, (3) use an additional de novo assembly module, and (4) leverage new built-in pipelines to automate common workflows in phylogenomics. Owing to reimplementation of databasing strategies, we demonstrate that aTRAM 2.0 is much faster across all applications compared to the previous version.##
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Locating Pleistocene Refugia: Comparing Phylogeographic and Ecological Niche Model Predictions

2007
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PLoS ONE
*

We thank

doi:10.1371/journal.pone.0000563
pmid:17622339
pmcid:PMC1905943
fatcat:vxcuynp7d5bnxm644ivi4qqci4
*P*. Ersts, F. Fontanella, A. Martin, and T. Ranker for insightful discussion, M. Papeş for GIS assistance, N. Nagle and M. Rosenberg for advice on spatial statistics, and J. Chave and C. ... . ** indicates significance at less than 0.001*P*-value. ... In three of the six cases where we could not reject the null hypothesis of no association, the*P*-values missed the set significance criterion of 0.05 only marginally (i.e. 0.05,*P*,0.10). ...
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