翻訳と辞書
Words near each other
・ Graph enumeration
・ Graph equation
・ Graph factorization
・ Graph homomorphism
・ Graph isomorphism
・ Graph isomorphism problem
・ Graph kernel
・ Graph labeling
・ Graph literacy
・ Graph manifold
・ Graph minor
・ Graph Modelling Language
・ Graph Nobel
・ Graph of a function
・ Graph of desire
Graph of groups
・ Graph operations
・ Graph paper
・ Graph partition
・ Graph pax
・ Graph pebbling
・ Graph power
・ Graph product
・ Graph property
・ Graph realization problem
・ Graph reduction
・ Graph reduction machine
・ Graph rewriting
・ Graph sandwich problem
・ Graph state


Dictionary Lists
翻訳と辞書 辞書検索 [ 開発暫定版 ]
スポンサード リンク

Graph of groups : ウィキペディア英語版
Graph of groups
In geometric group theory, a graph of groups is an object consisting of a collection of groups indexed by the vertices and edges of a graph, together with a family of monomorphisms of the edge groups into the vertex groups.
There is a unique group, called the fundamental group, canonically associated to each finite connected graph of groups. It admits an orientation-preserving action on a tree: the original graph of groups can be recovered from the quotient graph and the stabiliser subgroups. This theory, commonly referred to as Bass–Serre theory, is due to the work of Hyman Bass and Jean-Pierre Serre.
==Definition==
A graph of groups over a graph is an assignment to each vertex of of a group and to each edge of of a group as well as monomorphisms and mapping into the groups assigned to the vertices at its ends.

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
ウィキペディアで「Graph of groups」の詳細全文を読む



スポンサード リンク
翻訳と辞書 : 翻訳のためのインターネットリソース

Copyright(C) kotoba.ne.jp 1997-2016. All Rights Reserved.