Maximal finite subgroups and minimal classes
Copyright policy )Maximal finite subgroups and minimal classes
We apply Voronoi’s algorithm to compute representatives of the conjugacy classes of maximal finite subgroups of the unit group of a maximal order in some simple \mathbf Q -algebra. This may be used to show in small cases that non-conjugate orders have non-isomorphic unit groups.
- University of Bordeaux France
Cohomology of arithmetic groups, numbers of conjugacy classes, Units, groups of units (associative rings and algebras), simple algebras, Unimodular groups, congruence subgroups (group-theoretic aspects), maximal finite subgroups, Mathematics - Number Theory, unit groups of orders, Voronoi algorithm, Orders in separable algebras, minimal classes, maximal orders, Group Theory (math.GR), Computational aspects of associative rings (general theory), 20H05, 11F75, 20H10, 11H55, lattices, FOS: Mathematics, Quadratic forms (reduction theory, extreme forms, etc.), Number Theory (math.NT), Fuchsian groups and their generalizations (group-theoretic aspects), Mathematics - Group Theory
Cohomology of arithmetic groups, numbers of conjugacy classes, Units, groups of units (associative rings and algebras), simple algebras, Unimodular groups, congruence subgroups (group-theoretic aspects), maximal finite subgroups, Mathematics - Number Theory, unit groups of orders, Voronoi algorithm, Orders in separable algebras, minimal classes, maximal orders, Group Theory (math.GR), Computational aspects of associative rings (general theory), 20H05, 11F75, 20H10, 11H55, lattices, FOS: Mathematics, Quadratic forms (reduction theory, extreme forms, etc.), Number Theory (math.NT), Fuchsian groups and their generalizations (group-theoretic aspects), Mathematics - Group Theory
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