Finite Permutation Groups. Translated from the German by R. Bercov |
Common terms and phrases
addition algebraic integers asserted assume assumption automorphisms B-group block of G Burnside commutative conjugate constituents of G cosets cycle D₁ denote divisor eigenvalue elementary Abelian elements of H exactly fixed block following theorem Frobenius group G contains G is doubly G is primitive G is transitive G₁K group G group of degree group ring H₁ hypothesis imprimitive intransitive irreducible constituents Jordan k-fold transitive left fixed length Let G Math Mathieu groups matrix minimal degree minimal normal subgroup multiplication multiply transitive groups N₁ orbits of G₁ permutation group permutation matrix points prime degree primitive group primitivity of G Proof Proposition prove regular group regular normal subgroup regular representation S-module S-ring over H semiregular semiregular group simple quantities solvable subgroup of G Sylow p-subgroup Sylow subgroup symmetric group Transitive Constituents transitivity module transitivity of G trivial Wielandt