In group theory, the wreath product is a special combination of two groups based on the semidirect product. It is formed by the action of one group on...

product of sets Direct product of groups Semidirect product Product of group subsets Wreath product Free product Zappa–Szép product (or knit product)...

product of sets the direct product of groups, and also the semidirect product, knit product and wreath product the free product of groups the product...

iterated wreath products of cyclic groups of order p are very important examples of p-groups. Denote the cyclic group of order p as W(1), and the wreath product...

generalizes the semidirect product Holomorph Lie algebra semidirect sum Subdirect product Wreath product Zappa–Szép product Crossed product DS Dummit and RM Foote...

a product of groups usually refers to a direct product of groups, but may also mean: semidirect product Product of group subsets wreath product free...

≅ H, wr denotes the wreath product. This is part of the Krull–Schmidt theorem, and holds more generally for finite direct products. It is possible to take...

\oplus \mathbb {Z} &i=1,2\\0&i>3.\end{array}}\right.} For a group G, the wreath product is an extension 1 → G p → G ≀ Z / p → Z / p → 1. {\displaystyle 1\to...

+ 1) is the wreath product of Wp(n) and Wp(1). In general, the Sylow p-subgroups of the symmetric group of degree n are a direct product of ai copies...

\varphi } . ≀ In group theory, G ≀ H {\displaystyle G\wr H} denotes the wreath product of the groups G and H. It is also denoted as G wr ⁡ H {\displaystyle...