DOIAbstract
AbstractWe prove a conjecture of Mann and Pyber which estimates the number of finite groups of a given order and a given number of generators. This implies that the normal subgroup growth of free groups is of rate nlogn
AbstractWe prove a conjecture of Mann and Pyber which estimates the number of finite groups of a given order and a given number of generators. This implies that the normal subgroup growth of free groups is of rate nlogn
Given a finite group G; let e(G) be the expected number of elements of G which have to be drawn at r...
International audienceWe give an efficient algorithm to randomly generate finitely generated subgrou...
The unsolved problem of whether there exists a positive constant c such that the number k(G) of conj...
AbstractWe prove a conjecture of Mann and Pyber which estimates the number of finite groups of a giv...
For a finitely generated group Gamma, denote by s(n)(Delta) (Gamma) the number of normal subgroups o...
Let $F_m$ be a free group with $m$ generators and let $R$ be its normal subgroup such that $F_m/R$ p...
The following article appeared in Annals of Mathematics 173.2 (2011): 769-814 and may be found at ht...
summary:In this note we study sets of normal generators of finitely presented residually $p$-finite ...
A conjecture of A. Mann asks if every finitely generated profinite group that is PFG has PBMN. Here ...
International audienceWe count the finitely generated subgroups of the modular group [Formula: see t...
AbstractWe prove that the analog of the Grushko–Neumann theorem does not hold for profinite free pro...
Let G be a finite group and, for n (Formula Presented) N, denote by mn (G) the number of maximal sub...
We show that a large class of groups has normal subgroup growth of type n (log n) , which is the sam...
We determine the structure of finitely generated residually finite groups in which the number of sub...
Let B be a subset of the set of all isomorphism classes of finite groups. We consider the number Fg(...
Given a finite group G; let e(G) be the expected number of elements of G which have to be drawn at r...
International audienceWe give an efficient algorithm to randomly generate finitely generated subgrou...
The unsolved problem of whether there exists a positive constant c such that the number k(G) of conj...
AbstractWe prove a conjecture of Mann and Pyber which estimates the number of finite groups of a giv...
For a finitely generated group Gamma, denote by s(n)(Delta) (Gamma) the number of normal subgroups o...
Let $F_m$ be a free group with $m$ generators and let $R$ be its normal subgroup such that $F_m/R$ p...
The following article appeared in Annals of Mathematics 173.2 (2011): 769-814 and may be found at ht...
summary:In this note we study sets of normal generators of finitely presented residually $p$-finite ...
A conjecture of A. Mann asks if every finitely generated profinite group that is PFG has PBMN. Here ...
International audienceWe count the finitely generated subgroups of the modular group [Formula: see t...
AbstractWe prove that the analog of the Grushko–Neumann theorem does not hold for profinite free pro...
Let G be a finite group and, for n (Formula Presented) N, denote by mn (G) the number of maximal sub...
We show that a large class of groups has normal subgroup growth of type n (log n) , which is the sam...
We determine the structure of finitely generated residually finite groups in which the number of sub...
Let B be a subset of the set of all isomorphism classes of finite groups. We consider the number Fg(...
Given a finite group G; let e(G) be the expected number of elements of G which have to be drawn at r...
International audienceWe give an efficient algorithm to randomly generate finitely generated subgrou...
The unsolved problem of whether there exists a positive constant c such that the number k(G) of conj...
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