The Theory of Groups, Том 1

a₁ abelian torsion-free groups additive group algebraic Amer ascending sequence b₁ cardinal number classes of conjugate commutative complete group composition series contains corresponding coset countable cyclic subgroup decomposition of G denote direct decomposition direct product direct sum direct summand Doklady Akad elements of G elements of infinite endomorphisms equation example exists factor group finite groups finite number free abelian group free group G₁ group G group of order group of type groups of rank Gruppen H₁ homomorphic mapping infinite cyclic groups infinite height inner automorphism integers intersection inverse isomorphic linearly dependent London Math matrices multiplication Nauk SSSR normal subgroup null element operator domain p-groups permutation primary group prime number proof proved rational numbers ring Sbornik serving subgroup solvable groups subgroup H subgroup of G subset sum of cyclic summand of G symmetric group theory of groups Ulm factors unit element