Zobrazeno 1 - 10
of 21
pro vyhledávání: '"Ben Fairbairn"'
Autor:
Ben Fairbairn, Ludo Carta
Publikováno v:
Journal of Group Theory. 25:355-377
A Beauville group acts freely on the product of two compact Riemann surfaces and faithfully on each one of them. In this paper, we consider higher products and present {\it{generalised Beauville groups}}: for $d \geq 2$, $d$ is the minimal value for
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b25ff672acbc80802144ae9b73b3c578
https://doi.org/10.1515/jgth-2021-0034
https://doi.org/10.1515/jgth-2021-0034
Autor:
Ben Fairbairn
Publikováno v:
Bulletin of the London Mathematical Society. 49:749-754
We prove that there exist infinitely many a non-abelian strongly real Beauville $p$-group for every prime $p$. Previously only finitely many in the case $p=2$ have been constructed.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::22290e3c48add2c07f45eca13ae777da
https://doi.org/10.1112/blms.12060
https://doi.org/10.1112/blms.12060
Autor:
Ben Fairbairn
We discuss Beauville groups whose corresponding Beauville surfaces are either always strongly real or never strongly real producing several infinite families of examples.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::77f662524f1b249fa7fbffa48c0b97b9
Publikováno v:
Chicago Journal of Theoretical Computer Science. 20:1-16
Memoryless computation is a novel means of computing any function of a set of registers by updating one register at a time while using no memory. We aim to emulate how computations are performed on modern cores, since they typically involve updates o
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::1d3baabddf102edaeb605fe524a8225b
https://doi.org/10.4086/cjtcs.2014.008
https://doi.org/10.4086/cjtcs.2014.008
Publikováno v:
Chicago Journal of Theoretical Computer Science. 20:1-20
Memoryless computation is a modern technique to compute any function of a set of registers by updating one register at a time while using no memory. Its aim is to emulate how computations are performed in modern cores, since they typically involve up
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e1f1032acdd626e7e368043609e8cf49
https://doi.org/10.4086/cjtcs.2014.007
https://doi.org/10.4086/cjtcs.2014.007
Publikováno v:
Proceedings of the London Mathematical Society. 107:744-798
We verify a conjecture of Bauer Catanese and Grunewald by proving a stronger result concerning quasisimple groups. More specifically, we prove that every finite quasisimple group apart from A5 and its cover SL(2,5) is a Beauville group.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::54f6c1cbe00b9449ba007bee2f017a7f
https://doi.org/10.1112/plms/pds097
https://doi.org/10.1112/plms/pds097
Autor:
Ben Fairbairn
Publikováno v:
Symmetries in Graphs, Maps, and Polytopes ISBN: 9783319304496
Beauville surfaces are a class of complex surfaces defined by letting a finite group G act on a product of Riemann surfaces. These surfaces possess many attractive geometric properties several of which are dictated by properties of the group G. A par
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ad715209e25cc60f66b2ef0e68e245a4
https://doi.org/10.1007/978-3-319-30451-9_6
https://doi.org/10.1007/978-3-319-30451-9_6
Autor:
Ben Fairbairn
Publikováno v:
Communications in Algebra. 40:1872-1877
We give improved upper bounds on the exact spreads of many of the larger sporadic simple groups, in some cases improving on the best known upper bound by several orders of magnitude.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::bd9a5c4f2754dcad1e1baeb3e4d7212a
https://doi.org/10.1080/00927872.2011.559183
https://doi.org/10.1080/00927872.2011.559183
Autor:
Ben Fairbairn
We generalize earlier work of Fuertes and Gonz\'{a}lez-Diez as well as earlier work of Bauer, Catanese and Grunewald to Coxeter groups in general by classifying which of these are strongly real Beauville groups. As a consequence of this we determine
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::51f3231781a5058a3aedf74d21fd156b
https://eprints.bbk.ac.uk/id/eprint/13574/1/FairbairnBeauvilleCoxeter.pdf
https://eprints.bbk.ac.uk/id/eprint/13574/1/FairbairnBeauvilleCoxeter.pdf