Zobrazeno 1 - 10
of 13
pro vyhledávání: '"Sebastian Jambor"'
Publikováno v:
ATZextra. 25:39-45
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::59b6fa728488d9f42bbee0986b6bd78e
https://doi.org/10.1007/s35778-020-0131-2
https://doi.org/10.1007/s35778-020-0131-2
Publikováno v:
Journal of Algebra. 427:455-466
We classify the C-group representations of the groups PSL ( 2 , q ) and PGL ( 2 , q ) . We obtain that the C-rank of PSL ( 2 , q ) and PGL ( 2 , q ) is 3 except when q ∈ { 7 , 9 , 11 , 19 , 31 } for PSL ( 2 , q ) and when q = 5 for PGL ( 2 , q ) ,
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::8cdbe542109e919675e64ae6c37c63df
https://doi.org/10.1016/j.jalgebra.2014.12.031
https://doi.org/10.1016/j.jalgebra.2014.12.031
Autor:
Sebastian Jambor
Publikováno v:
Journal of Algebra. 423:1109-1142
We generalize the Plesken–Fabianska L 2 -quotient algorithm for finitely presented groups on two or three generators to allow an arbitrary number of generators. The main difficulty lies in a constructive description of the invariant ring of GL ( 2
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f690c57e8c9278c65853c50280b6f8fd
https://doi.org/10.1016/j.jalgebra.2014.08.058
https://doi.org/10.1016/j.jalgebra.2014.08.058
Autor:
Sebastian Jambor
Publikováno v:
Journal of the Australian Mathematical Society. 98:355-363
Let ${\rm\Delta}:G\rightarrow \text{GL}(n,K)$ be an absolutely irreducible representation of an arbitrary group $G$ over an arbitrary field $K$; let ${\it\chi}:G\rightarrow K:g\mapsto \text{tr}({\rm\Delta}(g))$ be its character. In this paper, we ass
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::6eb514ba6d9bf6bb7905c4c3e1454c39
https://doi.org/10.1017/s144678871400055x
https://doi.org/10.1017/s144678871400055x
Autor:
Sebastian Jambor
Publikováno v:
LMS Journal of Computation and Mathematics. 16:419-423
We show that there are only finitely many primes $p$ such that $\mathrm{PSL} (2, p)$ has a minimal generating set of size four.Supplementary materials are available with this article.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::3ba5f38354db4e0e2652f06be80cd389
https://doi.org/10.1112/s1461157013000193
https://doi.org/10.1112/s1461157013000193
Publikováno v:
Bulletin of the London Mathematical Society. 45:907-910
We provide the first examples of words in the free group of rank 2 which are not proper powers and for which the corresponding word maps are non-surjective on an infinite family of finite non-abelian simple groups.
Mildly revised version to appe
Mildly revised version to appe
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f2688529a740ef8abcfa7c6824cea1bb
https://doi.org/10.1112/blms/bdt010
https://doi.org/10.1112/blms/bdt010
Autor:
Wilhelm Plesken, Sebastian Jambor
Publikováno v:
Journal of Algebra. 358:250-256
This paper develops methods to describe the conjugacy classes of GL(n,R) on Rn×n for a serial ring R of length two. The main result is a reduction to a computation in the matrix algebra over the residue class field of R, which in some cases can be d
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d21f458c46626e3ee4de3ba2be363fb3
https://doi.org/10.1016/j.jalgebra.2012.01.028
https://doi.org/10.1016/j.jalgebra.2012.01.028
Autor:
Sebastian Jambor
Publikováno v:
Journal of Symbolic Computation. 46:1098-1104
An algorithm is presented to compute the minimal associated primes of an ideal in a polynomial ring over the integers. It differs from the known algorithms insofar as it avoids having to compute Gröbner bases over the integers until the very end, th
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::50335d052f23a3daa8cfea6ddbdcdce4
https://doi.org/10.1016/j.jsc.2011.05.010
https://doi.org/10.1016/j.jsc.2011.05.010
Autor:
Grant Cairns, Sebastian Jambor
Publikováno v:
Proceedings of the American Mathematical Society. 136:3803-3807
We give explicit formulas for the cohomology of the Heisenberg Lie algebras over fields of finite characteristic. We use this to show that in characteristic two, unlike all other cases, the Betti numbers are unimodal.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::82f6f007197aa3fd52c178cddc60ec45
https://doi.org/10.1090/s0002-9939-08-09422-7
https://doi.org/10.1090/s0002-9939-08-09422-7
We present a constructive recognition algorithm to decide whether a given black-box group is isomorphic to an alternating or a symmetric group without prior knowledge of the degree. This eliminates the major gap in known algorithms, as they require t
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c000aefc9b1e16ef1b23768838d78f6c
http://arxiv.org/abs/1306.0767
http://arxiv.org/abs/1306.0767
