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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.
In the case of finitely generated abelian groups, this theorem guarantees that an abelian group splits as a direct sum of a torsion group and a free abelian group. The former may be written as a direct sum of finitely many groups of the form Z / p k Z {\displaystyle \mathbb {Z} /p^{k}\mathbb {Z} } for p {\displaystyle p} prime, and the latter ...
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 ...
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 ...
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 .
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.
The 1559 Book of Common Prayer, [note 1] also called the Elizabethan prayer book, is the third edition of the Book of Common Prayer and the text that served as an official liturgical book of the Church of England throughout the Elizabethan era. Elizabeth I became Queen of England in 1558 following the death of her Catholic half-sister Mary I.
Among the few deviations from the moderately reformed 1551 primer were the removal of the litany's deprecation of the pope and the addition of the new "An order for Morning Prayer daily through the year". This latter change was most likely a late interpolation intended to align the primer with the 1559 Book of Common Prayer.