1592 A. Willet Synopsis Papismi Pref. to Rdr. sig. B^v The heretikes Abeliani thought it not lawfull for their sort to liue without wiues, and yet they neuer vsed, nor kept companie with their wiues.]

?1609 J. Healey tr. Bp. J. Hall Discouery New World iii. viii. 215 There are standing yet some of the Abelians walls, those that continuallie adopted other mens Children.

1681 S. Colvil Mock Poem ii. 45 Some prove Maximinians: Abelians, Thebusians, Ophitæ, and Pepusrans.

1694 tr. L. Moréri Great Hist. Dict. Abelians, or Abeloites, a sort of African Hereticks, that liv'd in the Diocess of Hippo, who Married, but never meddled with their Wives.

1728 E. Chambers Cycl. (at cited word) Who, on this footing, should have been call'd Adamites, rather than Abelians.

1762 Deification of Fair-sex 47 The reign of the Abelians was very short.

1833 J. Flamank Treat. Happiness xix. 222 The Abelians..suffered no member of their sect to remain single.

1870 W. H. Overall Dict. Chronol. 11 Their tenets coincide with those of Abelians and Gnostics.

1930 B. Z. Goldberg Sacred Fire 255 In this respect, the Russians of the nineteenth century trod much the same path as did the Abelians in the early days of Christianity.

1846 D. F. Gregory Examples Processes Differential & Integral Calculus (ed. 2) ii. xii.522 There are also many memoirs in Crelle's Journal, both on elliptic functions, and on those which are called hyper-elliptic or Abelian.

1900 Amer. Math. Monthly 7 277 A cyclical group is clearly abelian.

1976 Sci. Amer. Nov. 55/1 Maxwell's theory is an Abelian gauge theory; non-Abelian gauge theories are distinguished from it by the fact that the fields themselves carry quantum numbers.

2005 Amer. Math. Monthly 112 703 This implies that the Jacobian of y² = 1 − x^p is an Abelian variety of dimension (p − 1)/2 with complex multiplication.

1861 Rep. Brit. Assoc. Advancem. Sci. 1860 156 As we can always express the roots of an Abelian equation by radicals.., so also the solution of an Abelian congruence depends ultimately on the solution of binomial congruences.

1922 Ann. Math. 23 281 Every root of this equation may be expressed as a rational integral function of any one assigned root; it is therefore an Abelian equation and can be solved by radicals.

2005 D. Berlinski Infinite Ascent (2008) vi. 88 The cyclotomic equations, special cases of the more general Abelian equation xⁿ − 1 = 0.

1892 F. N. Cole tr. E. Netto Theory Substitutions Contents p. x. Groups analogous to the Abelian groups.

1957 Amer. Jrnl. Math. 79 477 Let G be a topological abelian group, and let A be any subset of G.

2004 A. Watson Quantum Quark ii. 16 The group SO(2) is an example of an Abelian group.

1847 Rep. 16th Meeting Brit. Assoc. Advancem. Sci. 1846 i. 75 What are the corresponding functions to which the hyper-elliptic or Abelian integrals are inverse, and how by means of them can Abel's theorem be stated?

1897 H. F. Baker Abel's Theorem xviii. 561 The integrand of the Abelian integral u_r is single-valued on the Riemann surface.

2007 Jrnl. Math. Anal. & Applic. 329 271 We give several preliminary results on the above functions which, as we will see, generate the Abelian integral I (h).