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Print/export Download as PDF; Printable version; In other projects ... Pages in category "Vegetables" The following 33 pages are in this category, out of 33 total.
The Nielsen–Schreier theorem: Every subgroup of a free group is free. Furthermore, if the free group F has rank n and the subgroup H has index e in F, then H is free of rank 1 + e(n–1). A free group of rank k clearly has subgroups of every rank less than k. Less obviously, a (nonabelian!) free group of rank at least 2 has subgroups of all ...
USDA soil taxonomy (ST) developed by the United States Department of Agriculture and the National Cooperative Soil Survey provides an elaborate classification of soil types according to several parameters (most commonly their properties) and in several levels: Order, Suborder, Great Group, Subgroup, Family, and Series.
This template is used as a header for category pages that contain templates. Template parameters [Edit template data] Parameter Description Type Status onright onright rhs no description Unknown optional type type no description Unknown optional container container no description Unknown optional topic topic no description Unknown optional description description 1 no description Unknown ...
A subgroup H of a group G is ascendant if there is an ascending subgroup series starting from H and ending at G, such that every term in the series is a normal subgroup of its successor. The series may be infinite. If the series is finite, then the subgroup is subnormal. automorphism An automorphism of a group is an isomorphism of the group to ...
• To set it to display one particular list while keeping the remainder collapsed (i.e. hidden apart from their headings), use: {{Algebraic structures |expanded=listname}} or, if enabled, {{Algebraic structures |listname}} …where listname is one of the following (do not include any quotemarks): group, ring, lattice, module, algebra
1. From the top menu bar, click Mail | select Address Book. 2. In the left column below "Categories," click Groups. 3. Click Group Options | select Add Group. 4. Enter the requested info for your group.
• To set it to display one particular list while keeping the remainder collapsed (i.e. hidden apart from their headings), use: {{Group theory sidebar |expanded=listname}} or, if enabled, {{Group theory sidebar |listname}} …where listname is one of the following (do not include any quotemarks): Basics, Finite, Discrete, Topological, Algebraic