On loop extensions and cohomology of loops

Preprint English OPEN
Benítez, Rolando Jiménez; Meléndez, Quitzeh Morales;
(2015)
  • Subject: Mathematics - Rings and Algebras | Mathematics - K-Theory and Homology

In this paper are defined cohomology-like groups that classify loop extensions satisfying a given identity in three variables for association identities, and in two variables for the case of commutativity. It is considered a large amount of identities. This groups gener... View more
  • References (5)

    [1] Eilenberg S., Maclane S., Cohomology theory in abstract groups I Ann. of math. Vol. 48, No. 1 (1947), 51-78.

    [2] Nishigori N., On Loop Extensions of Groups and M-cohomology Groups I. J. Sci. HIROSHIMA UNIV. SER. A-I 27 (1963), 151-165.

    [3] Nishigori N., On Loop Extensions of Groups and M-cohomology Groups II. J. Sci. HIROSHIMA UNIV. SER. A-I 29 (1965), 17-26.

    [4] Kenneth W.J., Ch.R. Leedham-Green Loop cohomology Czec. Math. J., Vol. 40 (1990), No. 2, 182-194.

    [5] P.T. Nagy; K. Strambach Schreier loops Czec. Math. J., Vol. 58 (2008), No. 3, 759-786. Instituto de Matema´ticas, Representacio´n Oaxaca, Universidad Nacional Auto´noma de M´exico, Leo´n 2, 68000 Oaxaca de Jua´rez, Oaxaca, M´exico E-mail address: rolando@matcuer.unam.mx Universidad Pedago´gica Nacional, unidad 201 Camino a la Zanjita S/N, Col. Noche Buena, Santa Cruz Xoxocotla´n, Oaxaca. C.P. 71230 E-mail address: qmoralesme@conacyt.mx

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