منابع مشابه
Modular Theory of Group - Matrices
1. The importance of the concept group-matrix in the theory of finite groups was recognized by Dedekind as early as 1880. The development of a general theory of group-matrices is due, however, to Frobenius, (Berliner Sitzungsberichte, from 1896 to the present). In particular, Frobenius has applied the theory to the representation of a finite group as a (non-modular) linear group. Since linear c...
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In this paper, we present a formalisation of elementary group theory done in Coq. This work is the first milestone of a long-term effort to formalise Feit-Thompson theorem. As our further developments will heavily rely on this initial base, we took special care to articulate it in the most compositional way. Key-words: finite groups, proof assistants, formalisation of mathematics ∗ Microsoft Re...
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The decomposition numbers of the Rudvalis sporadic simple group and of its double covering group modulo 3 are completely determined. The results were obtained using the computer algebra system MOC developed by Jansen, Lux, Parker, and the author, but the proofs are given in conventional form and can be verified by hand with the ordinary character table.
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ژورنال
عنوان ژورنال: Bulletin of the American Mathematical Society
سال: 1907
ISSN: 0002-9904
DOI: 10.1090/s0002-9904-1907-01503-3