搜索结果: 1-15 共查到“代数学 finite groups”相关记录17条 . 查询时间(0.117 秒)
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 ...
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.
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.
Approximating the first $L^2$-betti number of residually finite groups
residually finite groups math
2010/11/24
We show that the first $L^2$-betti number of a finitely generated residually finite group can be estimated from below by using ordinary first betti numbers of finite index normal subgroups. As an app...
Minimal characteristic bisets and finite groups realizing Ruiz-Viruel exotic fusion systems
finite groups realizing Ruiz-Viruel exotic fusion systems
2010/11/23
Continuing our previous work, we determine a minimal left characteristic biset $X$ for every exotic fusion system $\mathcal{F}$ on the extraspecial group $S$ of order $7^3$ and exponent $7$ discovered...
Subgroup S-commutativity degree of finite groups
Subgroup commutativity degree subgroup S–commutativity degree Sylow subgroups
2010/12/3
In a recent contribution, Tˇarnˇauceanu has introduced the subgroup commutativity degree of a finite group,adapting to the context of the lattice theory some ideas and some techniques, which were know...
Commutativity degree, its generalizations, and classification of finite groups
Commutativity degree generalizations classification of finite groups
2010/12/14
Classification of finite groups is a central problem in theory of groups.Even though finite abelian groups have been completely classified, a lot still remains to be done as far as non-abelian groups ...
Finite groups in which Sylow normalizers admit supplements
Sylow normalizer Supplement Wreath product
2007/12/11
For a group $G$ and a subgroup $M$ of $G$, we say that a subgroup $A$ of $G$ is a supplement to $M$ in $G$, if $G=MA$. We prove that a finite group in which every Sylow normalizer admits a nilpotent s...
On $\cal F$-Abnormal Maximal Subgroups of Finite Groups
finite group saturated formation $\mathscr F$-abnormal maximal subgroup Deskins completion
2007/12/10
For any saturated formation $\mathscr F$ of finite groups containing all supersolvable groups, the groups in $\mathscr F$ are characterized by $\mathscr F$-abnormal maximal subgroups.
The topic of the present paper is the following question. Let G be a locally finite group admitting an automorphism f of finite order such that the centralizer CG(f) satisfies certain finiteness condi...