Last Updated :2025/12/05

lamplighter group

Noun
Japanese Meaning
群論における概念で、制限付き直 wreath 積 mathbb Z₂≀ mathbb Z によって定義される群。 / ランプを点灯または消灯する操作とそれに伴う位置移動を模している表現から派生した名前で、数学的には制限付き直 wreath 積として構成される。
What is this buttons?

ランプライター群は、成長やランダムウォークに関して興味深い性質を持つ有限生成群の、単純でありながら豊かな例を提供する。

plural

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(group theory) The restricted wreath product mathbf Z₂≀ mathbf Z.

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lamplighter group

The lamplighter group provides a simple yet rich example of a finitely generated group with interesting growth and random walk properties.

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The lamplighter group provides a simple yet rich example of a finitely generated group with interesting growth and random walk properties.

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