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Minimal invariable generating sets (Q2318385)

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Language	Label	Description	Also known as
English	Minimal invariable generating sets	scientific article

Statements

scholarly article

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Minimal invariable generating sets (English)

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Daniele Garzoni

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Andrea Lucchini

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Journal of Pure and Applied Algebra

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publication date

15 August 2019

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full work available at URL

https://arxiv.org/abs/2203.00726

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MaRDI profile type

MaRDI publication profile

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A generalization of the Burnside basis theorem.

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Classes of Finite Groups

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Ewens Sampling and Invariable Generation

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Independent generating sets and geometries for symmetric groups

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Generating random elements of a finite group

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Crowns and factorization of the probabilistic zeta function of a finite group.

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Invariable generation with elements of coprime prime-power orders.

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Invariable generation of prosoluble groups.

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Random sets which invariably generate the symmetric group

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Invariable generation of the symmetric group

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Pre-Frattini groups.

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Die Eulersche Funktion endlicher auflösbarer Gruppen

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Zu einem von B. H. und H. Neumann gestellten Problem

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Convergence Groups are not Invariably Generated

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The Congruence Subgroup Property Does Not Imply Invariable Generation: Table 1

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Simple groups admit Beauville structures

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On Groups all of Whose Elements Have Prime Power Order

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Finite Groups in Which Every Element Has Prime Power Order

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The minimal generating sets of of size four

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On complemented nonabelian chief factors of a finite group

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Invariable generation and the Chebotarev invariant of a finite group.

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Invariable generation of infinite groups.

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On Finite Groups With ‘Hidden’ Primes

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Crowns and centralizers of chief factors of finite groups

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Maximal subgroups of symmetric groups

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The largest size of a minimal generating set of a finite group.

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Minimal generating sets of maximal size in finite monolithic groups.

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The Chebotarev invariant of a finite group: A conjecture of Kowalski and Zywina

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On Random Generation of the Symmetric Group

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Four random permutations conjugated by an adversary generate<i>S</i><sub>n</sub>with high probability

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A theorem on random matrices and some applications

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An interpolation theorem for irredundant bases of closure structures

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Secretive prime-power groups of large rank

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Maximal independent generating sets of the symmetric group

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Transitive groups with fixed-point free permutations

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Identifiers

zbMATH Open document ID

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10.1016/j.jpaa.2019.05.004

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:2318385

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