Bounds on the Number of Maximal Subgroups of Finite Groups
نویسندگان
چکیده
In this paper we obtain significant bounds for the number of maximal subgroups a given index finite group. These results allow us to give new random generators needed generate $d$-generated group with high probability.
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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ژورنال
عنوان ژورنال: Results in Mathematics
سال: 2022
ISSN: ['1420-9012', '1422-6383']
DOI: https://doi.org/10.1007/s00025-022-01806-1