Zobrazeno 1 - 10
of 16
pro vyhledávání: '"Jason Semeraro"'
Autor:
Justin Lynd, Jason Semeraro
Publikováno v:
Forum of Mathematics, Sigma, Vol 11 (2023)
To each pair consisting of a saturated fusion system over a p-group together with a compatible family of Külshammer-Puig cohomology classes, one can count weights in a hypothetical block algebra arising from these data. When the pair arises from a g
Externí odkaz:
https://doaj.org/article/8959b25cbb114bb692530e3bda4fcaca
Autor:
Jason Semeraro, Christopher Parker
Publikováno v:
Mathematics of Computation. 90:2415-2461
For a prime p p , we describe a protocol for handling a specific type of fusion system on a p p -group by computer. These fusion systems contain all saturated fusion systems. This framework allows us to computationally determine whether or not two su
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e1d62238d1617f2f522518b3799b86d9
https://doi.org/10.1090/mcom/3634
https://doi.org/10.1090/mcom/3634
Publikováno v:
Advances in Mathematics. 322:201-268
For an odd prime p, we look at simple fusion systems over a finite nonabelian p-group S which has an abelian subgroup A of index p. When S has more than one such subgroup, we reduce this to a case already studied by Ruiz and Viruel. When A is the uni
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d005a2e8f54eb3f263adcb05a2a195a3
https://doi.org/10.1016/j.aim.2017.10.001
https://doi.org/10.1016/j.aim.2017.10.001
Autor:
Christopher Parker, Jason Semeraro
Publikováno v:
Mathematische Zeitschrift. 289:629-662
For S a Sylow p-subgroup of the group $${\text {G}}_2(p)$$ for p odd, up to isomorphism of fusion systems, we determine all saturated fusion systems $$\mathcal {F}$$ on S with $$O_p(\mathcal {F})=1$$ . For $$p \ne 7$$ , all such fusion systems are re
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::56a252d5d74b037d386b4ede60f7b893
https://doi.org/10.1007/s00209-017-1969-x
https://doi.org/10.1007/s00209-017-1969-x
Publikováno v:
Gill, N, Gillespie, N I & Semeraro, J 2018, ' Conway Groupoids and Completely Transitive Codes ', Combinatorica, vol. 38, no. 2, pp. 399-442 . https://doi.org/10.1007/s00493-016-3433-7
To each supersimple $2-(n,4,\lambda)$ design $\mathcal{D}$ one associates a `Conway groupoid,' which may be thought of as a natural generalisation of Conway's Mathieu groupoid associated to $M_{13}$ which is constructed from $\mathbb{P}_3$. We show t
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f76af89bc76fa2bfed5d576f7e7d1c03
https://doi.org/10.1007/s00493-016-3433-7
https://doi.org/10.1007/s00493-016-3433-7
Publikováno v:
Finite Simple Groups: Thirty Years of the Atlas and Beyond. :91-110
In 1987, John Horton Conway constructed a subset $M_{13}$ of permutations on a set of size $13$ for which the subset fixing any given point is isomorphic to the Mathieu group $M_{12}$. The construction has fascinated mathematicians for the past thirt
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::78639441cc031f0b93adef3dabe5c8b8
https://doi.org/10.1090/conm/694/13962
https://doi.org/10.1090/conm/694/13962
Autor:
Jason Semeraro
In 1993, Brou\'{e}, Malle and Michel initiated the study of spetses on the Greek island bearing the same name. These are mysterious objects attached to non-real Weyl groups. In algebraic topology, a $p$-compact group $\mathbf{X}$ is a space which is
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::bbc510498cb874297511c9f9ec13a278
http://arxiv.org/abs/1906.00898
http://arxiv.org/abs/1906.00898
Autor:
Christopher Parker, Jason Semeraro
We complete the determination of saturated fusion systems on maximal class 3-groups of rank two.
Corrected minor typographical errors, improved readability
Corrected minor typographical errors, improved readability
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9f605d71218192cbb8035e11f43d8c57
http://arxiv.org/abs/1809.01957
http://arxiv.org/abs/1809.01957
Autor:
Peter J. Cameron, Jason Semeraro
The cycle polynomial of a finite permutation group $G$ is the generating function for the number of elements of $G$ with a given number of cycles: \[F_G(x) = \sum_{g\in G}x^{c(g)},\] where $c(g)$ is the number of cycles of $g$ on $\Omega$. In the fir
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4794b7a18402387d9271180b49950bd3
https://hdl.handle.net/10023/12840
https://hdl.handle.net/10023/12840
Many of the conjectures of current interest in the representation theory of finite groups in characteristic $p$ are local-to-global statements, in that they predict consequences for the representations of a finite group $G$ given data about the repre
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6146752663f7c479743406a5618e218e