Partial products in finite groups
نویسندگان
چکیده
منابع مشابه
COMPUTING 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...
متن کاملBicrossed 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...
متن کاملInfinite Products of Finite Simple Groups
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...
متن کاملInfinite groups arising from partial presentations of finite groups
If G is a finite group, X a generating set for G, and R some set of relations holding among these generators (but not in general a full set of relations presenting G), we establish sufficient conditions for the group G∗ = X ! R to be infinite, and give a lower bound for the rank of the abelianization of the kernel of the natural map G∗ → G. Related results in the literature and possible directi...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Discrete Mathematics
سال: 1976
ISSN: 0012-365X
DOI: 10.1016/0012-365x(76)90086-8