منابع مشابه
Maximal Subgroups of Finite Groups
What ingredients are necessary to describe all maximal subgroups of the general finite group G? This paper is concerned with providing such an analysis. A good first reduction is to take into account the first isomorphism theorem, which tells us that the maximal subgroups containing a given normal subgroup N of G correspond, under the natural projection, to the maximal subgroups of the quotient...
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Let G be a finite group with a non-abelian minimal normal subgroup N which is a direct product of the simple group X. The maximal subgroups of G which complement N and their conjugacy classes are parametrised in terms of certain homomorphisms taking values in AutX and satisfying particular conditions.
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Let n be a positive integer. Denote by PG(n, q) the n-dimensional projective space over the finite field Fq of order q. A blocking set in PG(n, q) is a set of points that has non-empty intersection with every hyperplane of PG(n, q). A blocking set is called minimal if none of its proper subsets are blocking sets. In this note we prove that if PG(ni, q) contains a minimal blocking set of size ki...
متن کاملComputing maximal subgroups of finite groups
We describe a practical algorithm for computing representatives of the conjugacy classes of maximal subgroups in a finite group, together with details of its implementation for permutation groups in the MAGMA system. We also describe methods for computing complements of normal subgroups and minimal supplements of normal soluble subgroups of finite groups.
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ژورنال
عنوان ژورنال: Communications in Algebra
سال: 2019
ISSN: 0092-7872,1532-4125
DOI: 10.1080/00927872.2019.1654498