one can define a product of group subsets in a natural way. If S and T are subsets of a group G, then their product is the subset of G defined by S T...
10 KB (1,276 words) - 15:53, 13 July 2022
product Cartesian product of sets Direct product of groups Semidirect product Product of group subsets Wreath product Free product Zappa–Szép product...
2 KB (246 words) - 17:34, 11 July 2024
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...
284 bytes (62 words) - 00:45, 29 December 2020
group-theoretic analogue of the Cartesian product of sets and is one of several important notions of direct product in mathematics. In the context of...
26 KB (2,932 words) - 23:03, 19 April 2024
Monoid (section Products and powers)
In the same way the power set of a group G is a monoid under the product of group subsets. Let S be a set. The set of all functions S → S forms a monoid...
35 KB (4,447 words) - 08:24, 16 July 2024
special type of complement in a Frobenius group. A complemented group is one where every subgroup has a complement. Product of group subsets David S. Dummit...
3 KB (396 words) - 23:32, 12 August 2023
Lexicographic order (redirect from Ordering of lexicographic type)
an order on the subsets, which is also called the lexicographical order. In this context, one generally prefer to sort first the subsets by cardinality...
23 KB (3,352 words) - 07:24, 16 November 2023
abelian group Free group Free product Generating set of a group Group cohomology Group extension Presentation of a group Product of group subsets Schur...
10 KB (800 words) - 20:17, 10 January 2024
abstractly, one talks about the product in category theory, which formalizes these notions. Examples are the product of sets, groups (described below), rings...
16 KB (3,022 words) - 06:13, 4 July 2024