A New Existence Proof for Ly, the Sporadic Simple Group of R. Lyons
نویسندگان
چکیده
منابع مشابه
Completing the Brauer Trees for the Sporadic Simple Lyons Group
In this paper we complete the Brauer trees for the sporadic simple Lyons group Ly in characteristics 37 and 67. The results are obtained using tools from computational representation theory, in particular a new condensation technique, and with the assistance of the computer algebra systems MeatAxe and GAP.
متن کاملOn the Fischer-Clifford matrices of a maximal subgroup of the Lyons group Ly
The non-split extension group $overline{G} = 5^3{^.}L(3,5)$ is a subgroup of order 46500000 and of index 1113229656 in Ly. The group $overline{G}$ in turn has L(3,5) and $5^2{:}2.A_5$ as inertia factors. The group $5^2{:}2.A_5$ is of order 3 000 and is of index 124 in L(3,5). The aim of this paper is to compute the Fischer-Clifford matrices of $overline{G}$, which together with associated parti...
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متن کاملon the fischer-clifford matrices of a maximal subgroup of the lyons group ly
the non-split extension group $overline{g} = 5^3{^.}l(3,5)$ is a subgroup of order 46500000 and of index 1113229656 in ly. the group $overline{g}$ in turn has l(3,5) and $5^2{:}2.a_5$ as inertia factors. the group $5^2{:}2.a_5$ is of order 3 000 and is of index 124 in l(3,5). the aim of this paper is to compute the fischer-clifford matrices of $overline{g}$, which together with associated parti...
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Our aim in this very short note is to show that the proof of the following well-known fundamental lemma of Zariski follows from an argument similar to the proof of the fact that the rational field $mathbb{Q}$ is not a finitely generated $mathbb{Z}$-algebra.
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ژورنال
عنوان ژورنال: Journal of Symbolic Computation
سال: 2001
ISSN: 0747-7171
DOI: 10.1006/jsco.2000.1010