References
-
J. Alonso, Groups of order
$pq^m$ with elementary abelian Sylow q-subgroups, Proc. Amer. Math. Soc. 65 (1977), no. 1, 16-18. https://doi.org/10.1090/S0002-9939-1977-0486127-4 - J. P. Bohanon and L. Reid, Finite groups with planar subgroup lattices, J. Algebraic Combin. 23 (2006), no. 3, 207-223. https://doi.org/10.1007/s10801-006-7392-8
- W. Burnside, Theory of Groups of Finite Order, 2nd Edition, Dover Publications Inc., New York, 1955.
- F. N. Cole and J.W. Glover, On groups whose orders are products of three prime factors, Amer. J. Math. 15 (1893), no. 3, 191-220. https://doi.org/10.2307/2369839
- D. Gorenstein, Finite Groups, 2nd Edition, Chelsea Publishing Co., New York, 1980.
-
O. Holder, Die Gruppen der Ordnungen
$p^3$ ,$pq^2$ , pqr,$p^4$ , Math. Ann. 43 (1893), no. 2-3, 301-412. https://doi.org/10.1007/BF01443651 -
R. Le Vavasseur, Les groupes d'ordre
$p^2q^2$ , p etant un nombre premier plus grand que le nombre premier q, Ann. Sci. Ecole Norm. Sup. (3) 19 (1902), 335-355. - G. A. Miller, Groups having a small number of subgroups, Proc. Nat. Acad. Sci. U.S.A. 25 (1939), 367-371. https://doi.org/10.1073/pnas.25.7.367
- J. J. Rotman, An Introduction to the Theory of Groups, Fourth Edition, Graduate Texts in Mathematics, Vol. 148, Springer-Verlag, New York, 1995.
-
R. Schmidt, On the occurrence of the complete graph
$K_5$ in the Hasse graph of a finite group, Rend. Sem. Mat. Univ. Padova 115 (2006), 99-124. - R. Schmidt, Planar subgroup lattices, Algebra Universalis 55 (2006), no. 1, 3-12.
- C. L. Starr and G. E. Turner, III, Planar groups, J. Algebraic Combin. 19 (2004), no. 3, 283-295. https://doi.org/10.1023/B:JACO.0000030704.77583.7b
- E. Yaraneri, Intersection graph of a module, J. Algebra Appl. 12 (2013), no. 5, 1250218, 30 pp. https://doi.org/10.1142/S0219498812502180
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