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Random Walks on Finite Groups
Finite Groups Random
2015/8/26
Markov chains on finite sets are used in a great variety of situations
to approximate, understand and sample from their limit distribution. A familiar
example is provided by card shuffling methods. ...
We study the rate of convergence of symmetric random walks on finite
groups to the uniform distribution. A notion of moderate growth is introduced
that combines with eigenvalue techniques to give sh...
MODERATE GROWTH AND RANDOM WALK ON FINITE GROUPS
Moderate growth random walk limited group
2015/7/14
MODERATE GROWTH AND RANDOM WALK ON FINITE GROUPS.
Markov chains on finite sets are used in a great variety of situations
to approximate, understand and sample from their limit distribution. A familiar
example is provided by card shufflin...
On partially conjugate-permutable subgroups of finite groups
conjugate-permutable subgroups of finite groups Group Theory
2012/6/12
Let $R$ be a subset of a group $G$. We call a subgroup $H$ of $G$ the $R$-conjugate-permutable subgroup of $G$, if $HH^{x}=H^{x}H$ for all $x\in R$. This concept is a generalization of conjugate-permu...
Detecting ends of residually finite groups in profinite completions
residually finite groups profinite completions Group Theory
2012/5/24
Let $\C$ be a variety of finite groups. We use profinite Bass--Serre theory to show that if $u:H\hookrightarrow G$ is a map of finitely generated residually $\C$ groups such that the induced map $\hat...
A note on the Triple Product Property subgroup capacity of finite groups
Triple Product Property finite groups Group Theory
2011/9/23
Abstract: In the context of group-theoretic fast matrix multiplication the TPP capacity is used to bound the exponent $\omega$ of matrix multiplication. We prove a new and sharper upper bound for the ...
Beauville surfaces, moduli spaces and finite groups
Beauville surfaces moduli spaces finite groups Algebraic Geometry
2011/9/22
Abstract: In this paper we give the asymptotic growth of the number of connected components of the moduli space of surfaces of general type corresponding to certain families of Beauville surfaces with...
Nilpotent $p$-local finite groups
nilpotent p-local fusion p-local finite group fusion system
2011/9/21
Abstract: In this paper we prove characterizations of $p$-nilpotency for fusion systems and $p$-local finite groups that are inspired by results in the literature for finite groups. In particular, we ...
Representations of finite groups: Local cohomology and support
Representations of finite groups Local cohomology Commutative Algebra
2011/9/20
Abstract: These are the notes from an Oberwolfach Seminar which we ran from 23--29 May 2010.
Remarks on modular representations of finite groups of Lie type in non-defining characteristic
Finite groups of Lie type unipotent representations decomposition numbers
2011/8/23
Abstract: Let $G$ be a finite group of Lie type and $\ell$ be a prime which is not equal to the defining characteristic of $G$. In this note we discuss some open problems concerning the $\ell$-modular...
The following result is proved. Let w be a multilinear commutator and n a positive integer. Suppose that G is a resid-ually finite group in which every product of at most 896 w-values
has order divid...
Algorithmically finite groups
Word problem equality problem conjugacy problem recursive set
2011/1/19
We call a group G algorithmically finite if no algorithm can produce an infinite set of pairwise distinct elements of G. We construct examples of recursively presented infinite
algorithmically finite...
Some Inequalities for Nilpotent Multipliers of Finite Groups
Nilpotent multiplier Finite p-group Inequality
2011/2/21
In this paper we present some inequalities for the order, the expo-nent and the number of generators of the c-nilpotent multiplier (the Baer invariant with respect to the variety of nilpotent groups o...
Quasi-free actions of finite groups on the Cuntz algebra $\mathcal{O}_\infty$
Quasi-free actions finite groups Cuntz algebra $\mathcal{O}_\infty$
2011/1/17
We show that any faithful quasi-free actions of a finite group on the Cuntz algebra O1 are mutually conjugate, and that they are asymptotically rep-resentable.