dev-gap/tomlib/metadata.xml


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<?xml version="1.0" encoding="UTF-8"?>
<!DOCTYPE pkgmetadata SYSTEM "https://www.gentoo.org/dtd/metadata.dtd">
<pkgmetadata>
  <maintainer type="person">
    <email>mjo@gentoo.org</email>
  </maintainer>
  <maintainer type="person">
    <email>frp.bissey@gmail.com</email>
    <name>François Bissey</name>
  </maintainer>
  <maintainer type="project" proxied="proxy">
    <email>proxy-maint@gentoo.org</email>
    <name>Proxy Maintainers</name>
  </maintainer>
  <maintainer type="project">
    <email>sci-mathematics@gentoo.org</email>
    <name>Gentoo Mathematics Project</name>
  </maintainer>
  <longdescription lang="en">
    The concept of a table of marks was introduced by W. Burnside in his
    1955 book Theory of Groups of Finite Order. Therefore a table of
    marks is sometimes called a Burnside matrix.

    The table of marks of a finite group G is a matrix whose rows and
    columns are labelled by the conjugacy classes of subgroups of G and
    where for two subgroups H and K the (H, K)-entry is the number of
    fixed points of K in the transitive action of G on the cosets of H
    in G. So the table of marks characterizes the set of all permutation
    representations of G. Moreover, the table of marks gives a compact
    description of the subgroup lattice of G, since from the numbers of
    fixed points the numbers of conjugates of a subgroup K contained in
    a subgroup H can be derived.

    For small groups the table of marks of G can be constructed directly
    in GAP by first computing the entire subgroup lattice of G. However,
    for larger groups this method is unfeasible. The GAP Table of Marks
    library provides access to several hundred tables of marks and their
    maximal subgroups.
  </longdescription>
  <upstream>
    <remote-id type="github">gap-packages/tomlib</remote-id>
  </upstream>
</pkgmetadata>