منابع مشابه
Bicrossed Products for Finite Groups
We investigate one question regarding bicrossed products of finite groups which we believe has the potential of being approachable for other classes of algebraic objects (algebras, Hopf algebras). The problem is to classify the groups that can be written as bicrossed products between groups of fixed isomorphism types. The groups obtained as bicrossed products of two finite cyclic groups, one be...
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Suppose $G$ is a finite group, $A$ and $B$ are conjugacy classes of $G$ and $eta(AB)$ denotes the number of conjugacy classes contained in $AB$. The set of all $eta(AB)$ such that $A, B$ run over conjugacy classes of $G$ is denoted by $eta(G)$.The aim of this paper is to compute $eta(G)$, $G in { D_{2n}, T_{4n}, U_{6n}, V_{8n}, SD_{8n}}$ or $G$ is a decomposable group of order $2pq$, a group of...
متن کاملcomputing the products of conjugacy classes for specific finite groups
suppose $g$ is a finite group, $a$ and $b$ are conjugacy classes of $g$ and $eta(ab)$ denotes the number of conjugacy classes contained in $ab$. the set of all $eta(ab)$ such that $a, b$ run over conjugacy classes of $g$ is denoted by $eta(g)$.the aim of this paper is to compute $eta(g)$, $g in { d_{2n}, t_{4n}, u_{6n}, v_{8n}, sd_{8n}}$ or $g$ is a decomposable group of order $2pq$, a group of...
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We classify the sequences 〈Sn | n ∈ N〉 of finite simple nonabelian groups such that ∏ n Sn has uncountable cofinality.
متن کاملRandom graph products of finite groups are rational duality groups
Given a binomial random graph G(n, p), we determine various facts about the cohomology of graph products of groups for the graph G(n, p). In particular, the random graph product of a sequence of finite groups is a rational duality group with probability tending to 1 as n → ∞. This includes random right angled Coxeter groups as a special case. AMS classification numbers. Primary: 05C10, 05C80, 2...
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ژورنال
عنوان ژورنال: Algebras and Representation Theory
سال: 2009
ISSN: 1386-923X,1572-9079
DOI: 10.1007/s10468-009-9145-6