Almost All Alternating Groups are Invariably Generated by Two Elements of Prime Order

Invariable generation of finite classical groups

(2021) Eilidh McKemmie   JOURNAL OF ALGEBRA

Divisibility of binomial coefficients and generation of alternating groups

(2018) John Shareshian et al.   PACIFIC JOURNAL OF MATHEMATICS

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

(2017) Andrea Lucchini   PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY

Multiplicative functions in short intervals

(2016) Kaisa Matomäki et al.   ANNALS OF MATHEMATICS

Almost primes in almost all short intervals

(2016) JONI TERÄVÄINEN   MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY

Four random permutations conjugated by an adversary generateSnwith high probability

(2015) Robin Pemantle et al.   RANDOM STRUCTURES & ALGORITHMS

Simple groups admit Beauville structures

(2012) Robert Guralnick et al.   JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES

Invariable generation and the Chebotarev invariant of a finite group

(2011) W.M. Kantor et al.   JOURNAL OF ALGEBRA

A new solvability criterion for finite groups

(2011) Silvio Dolfi et al.   JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES