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

Daniel Goldstein, Robert M. Guralnick
2012 arXiv   pre-print
We prove that for any prime 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.  ... 
arXiv:1208.5283v1 fatcat:ia2sc4c6l5fb5jde3zx3rfdsyi

Surjective word maps and Burnsides p^aq^b theorem [article]

Robert Guralnick, Martin Liebeck, Eamon O'Brien, Aner Shalev, Pham Tiep
2015 arXiv   pre-print
4 (q) ℓ(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 .  ... 
arXiv:1505.00718v1 fatcat:f6sv3ikycfdvnlblqclcaazxba

BioGeomancer: Automated Georeferencing to Map the World's Biodiversity Data

Robert P Guralnick, John Wieczorek, Reed Beaman, Robert J Hijmans
2006 PLoS Biology  
doi:10.1371/journal.pbio.0040381 pmid:17105347 pmcid:PMC1637066 fatcat:los2yydwqjhvfela5rgwqa3kcy

No general relationship between mass and temperature in endothermic species

Kristina Riemer, Robert P Guralnick, Ethan P White
2018 eLife  
To test if Bergmann's rule can be extended to many species, Riemer, 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) .  ... 
doi:10.7554/elife.27166 pmid:29313491 pmcid:PMC5760208 fatcat:gvjidv54cjdjflxqqiu3jos2x4

Rational rigidity for F4(p)

Robert M. Guralnick, Frank Lübeck, Jun Yu
2016 Advances in Mathematics  
We prove the existence of certain rationally rigid triples in F_4(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).  ... 
doi:10.1016/j.aim.2016.07.015 fatcat:cnd5av5i7zcw5cvy562yu23tz4

Museum Collections Data and Online Mapping Applications

David L. Neufeld, Robert P. Guralnick, Robert Glaubitz, J. Ryan Allen
2003 Mountain Research and Development  
Neufeld Robert P. Guralnick Robert Glaubitz J.  ... 
doi:10.1659/0276-4741(2003)023[0334:mcdaom];2 fatcat:nmnkez5hpjeu7kazdl6gm6y6ja

Anthropogenic noise weakens territorial response to intruder's songs

Nathan J. Kleist, Robert P. Guralnick, Alexander Cruz, Clinton D. Francis, P. Warren
2016 Ecosphere  
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, 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  ... 
doi:10.1002/ecs2.1259 fatcat:asaqu2zylvhevcusd5dhxqwapy

Opportunistically collected photographs can be used to estimate large-scale phenological trends [article]

Shawn D. Taylor, Robert P. Guralnick
2019 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 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) .  ... 
doi:10.1101/794396 fatcat:fuognj2vxbg5npygm5jfbg65uy

The geospatial data quality REST API for primary biodiversity data

Javier Otegui, Robert P. Guralnick
2016 Bioinformatics  
Introduction Primary Biodiversity Data (PBD) are the most basic and interpretation-free pieces of information upon which most biodiversity studies are built (Guralnick and Hill, 2009) .  ... 
doi:10.1093/bioinformatics/btw057 pmid:26833340 pmcid:PMC4892415 fatcat:nhqqyqclnbcatnnicp7bw5et3q

Towards a collaborative, global infrastructure for biodiversity assessment

Robert P. Guralnick, Andrew W. Hill, Meredith Lane
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  ... 
doi:10.1111/j.1461-0248.2007.01063.x pmid:17594421 pmcid:PMC2040220 fatcat:cpjqzuharjfyzay3gyk6zut5je

Systematics Agenda 2020: The Mission Evolves

Marymegan Daly, Patrick S. Herendeen, Robert P. Guralnick, Mark W. Westneat, Lucinda McDade
2012 Systematic Biology  
doi:10.1093/sysbio/sys044 pmid:22492540 pmcid:PMC3376376 fatcat:muax2fnokzavtb7mxn6ruoppvi

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

Timothy C. Burness, Robert M. Guralnick, Alexander Moretó, Gabriel Navarro
2022 arXiv   pre-print
This bound is best possible in the sense that for each prime 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  ... 
arXiv:2112.08681v2 fatcat:2hhpeoaqu5d5fd2p4dxm2egnui

aTRAM 2.0: An Improved, Flexible Locus Assembler for NGS Data

Julie M Allen, Raphael LaFrance, Ryan A Folk, Kevin P Johnson, Robert P Guralnick
2018 Evolutionary Bioinformatics  
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
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.
doi:10.1177/1176934318774546 pmid:29881251 pmcid:PMC5987885 fatcat:ng5b7wghybcdngggrqhkalc4q4

Locating Pleistocene Refugia: Comparing Phylogeographic and Ecological Niche Model Predictions

Eric Waltari, Robert J. Hijmans, A. Townsend Peterson, Árpád S. Nyári, Susan L. Perkins, Robert P. Guralnick, Jerome Chave
2007 PLoS ONE  
We thank 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).  ... 
doi:10.1371/journal.pone.0000563 pmid:17622339 pmcid:PMC1905943 fatcat:vxcuynp7d5bnxm644ivi4qqci4
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