A. D. Avis, On the extreme rays of the metric cone, Journal canadien de math??matiques, vol.32, issue.1, pp.126-144, 1980.
DOI : 10.4153/CJM-1980-010-0

. V. Bat95 and . Batagelj, Norms and distances over finite groups Bandelt and A. Dress. A canonical decomposition theory for metrics on a finite set, J. Combinatorics ISS BD92. H.J. Adv. in Math, vol.20, issue.92, pp.243-25247, 1992.

. M. Bha09 and . Bhargava, Groups as unions of proper subgroups, Amer. Math. Monthly, vol.116, pp.413-422, 2009.

. P. Bun74 and . Buneman, A note on the metric properties of trees, J. of Comb. Th. (B), vol.17, pp.48-50, 1974.

. P. But03 and . Butkovi?, Max-algebra : the linear algebra of combinatorics ?, Linear Algebra Appl, vol.367, pp.313-335, 2003.

C. D. Castella, El??ments d???alg??bre lin??aire tropicale, CD79. G. Cohen and M. Deza. Distances invariantes et l-cliques sur certains demi-groupes finis. Mathématiques et sciences humaines, pp.1460-14741383, 1979.
DOI : 10.1016/j.laa.2009.11.005

G. Cohen, S. Gaubert, and J. P. Quadrat, Duality and separation theorems in idempotent semimodules, Linear Algebra and its Applications, vol.379, pp.395-422, 2004.
DOI : 10.1016/j.laa.2003.08.010

URL : https://hal.archives-ouvertes.fr/inria-00071917

C. G. Cannon, C. J. Maxso, and K. M. Neuerburg, Rings and covered groups, Journal of Algebra, vol.320, issue.4, pp.1586-1598, 2008.
DOI : 10.1016/j.jalgebra.2008.05.008

URL : https://doi.org/10.1016/j.jalgebra.2008.05.008

C. G. Cannon, C. J. Maxso, and K. M. Neuerburg, Rings determined by cyclic covers of groups, Journal of Algebra, vol.396, pp.1-9, 2013.
DOI : 10.1016/j.jalgebra.2013.08.009

C. J. Cohn, On $n$-Sum Groups., MATHEMATICA SCANDINAVICA, vol.75, issue.34, pp.44-58, 1981.
DOI : 10.7146/math.scand.a-12501

URL : http://www.mscand.dk/article/download/12501/10517

M. Deza, M. Dufour, and E. Panteleeva, Small cones of oriented semi-metrics Metrics on permutations, a survey, Am. J. Math. and Manag. Sc. J. Combinatorics ISS, vol.22, issue.23, pp.199-225173, 1998.

D. P. Diaconis, Group representations in probability and statistics, Lecture Notes -Monograph Series. Institute of Mathematical Statistics, vol.11, 1988.

D. A. Dress, V. Moulton, and W. Terhalle, T-theory: An Overview, European Journal of Combinatorics, vol.17, issue.2-3, pp.161-175, 1996.
DOI : 10.1006/eujc.1996.0015

URL : https://doi.org/10.1006/eujc.1996.0015

D. M. Deza and E. Panteleeva, Quasi-semi-metrics, Oriented Multi-cuts and Related Polyhedra, European Journal of Combinatorics, vol.21, issue.6, pp.777-795, 2000.
DOI : 10.1006/eujc.1999.0383

URL : https://doi.org/10.1006/eujc.1999.0383

D. A. Dress and W. Terhalle, The tree of life and other affine buildings, Doc. math., ICM III, pp.565-574, 1998.

J. Golan, Semi-rings and their applicationsUpdated and expanded version of The theory of semi-rings, with applications to mathematics and theoretical computer science), 1999.

G. S. Gaubert and M. Plus, Methods and applications of (max,+) linear algebra, Proceedings of the 14th Annual Symposium on Theoretical Aspects of Computer Science (STACS'97), number 1200 in Lecture Notes in Comput. Sci, 1997.
DOI : 10.1007/BFb0023465

URL : https://hal.archives-ouvertes.fr/inria-00073603

L. P. Lescot, Algèbre absolue, Ann.Sci.Math.Québec, vol.33, issue.1, pp.63-82, 2009.

L. A. Lucchini and M. Garonzi, Irredundant and Minimal Covers of Finite Groups, Communications in Algebra, vol.81, issue.2, pp.1722-1727, 2016.
DOI : 10.1080/00927872.2013.815766

R. G. Renault, Algèbre non commutative, 1975.

J. P. Serre, Représentations linéaires des groupes finis. Collection Méthodes, 1978.