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Abelians (Latin: Abelonii; also Abelites, [1] Abeloites or Abelonians) were a Christian sect that emerged in the 4th century in the countryside near Hippo Regius in north Africa during the reign of Arcadius.
The prayers could be prayed individually or in groups. By the third century, the Desert Fathers began to live out Paul's command to "pray without ceasing" ( 1 Thessalonians 5:17 ) by having one group of monks pray one fixed-hour prayer while having another group pray the next prayer.
The symmetric group on three points is an A-group that is not abelian. Every group of cube-free order is an A-group. The derived length of an A-group can be arbitrarily large, but no larger than the number of distinct prime divisors of the order, stated in , and presented in textbook form as (Huppert 1967, Kap. VI, Satz 14.16). The lower ...
Pages in category "Catholic religious orders established in the 16th century" The following 14 pages are in this category, out of 14 total. This list may not reflect recent changes .
Union of Prayer was a previous term for some Roman Catholic lay ecclesial movements. [4] They tended to be archconfraternities aiming at the conversion of various groups to Catholicism. [4] Some of these included: Association of Prayer and Penitence in honour of the Heart of Jesus - offering reparation for outrages against the Catholic Church ...
An abelian group is a set, together with an operation ･ , that combines any two elements and of to form another element of , denoted .The symbol ･ is a general placeholder for a concretely given operation.
Dedekind and Baer have shown (in the finite and respectively infinite order case) that every Hamiltonian group is a direct product of the form G = Q 8 × B × D, where B is an elementary abelian 2-group, and D is a torsion abelian group with all elements of odd order. Dedekind groups are named after Richard Dedekind, who investigated them in ...
The Schur multiplier of the elementary abelian group of order 16 is an elementary abelian group of order 64, showing that the multiplier can be strictly larger than the group itself. The Schur multiplier of the quaternion group is trivial, but the Schur multiplier of dihedral 2-groups has order 2.