Geodesic
Supersolvable M*-groups
Glasgow mathematical journal, Tome 30 (1988) no. 1, pp. 31-40

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A compact bordered Klein surface of genus g ≥ 2 has maximal symmetry [4] if its automorphism group is of order 12(g − 1), the largest possible. An M*-group [8] acts on a bordered surface with maximal symmetry. The first important result about these groups was that they must have a certain partial presentation [8, p. 5]. However, research has tended to focus more on the surfaces with maximal symmetry than on the M*-groups, and results about these groups typically deal with existence. 
May, Coy L. Supersolvable M*-groups. Glasgow mathematical journal, Tome 30 (1988) no. 1, pp. 31-40. doi: 10.1017/S001708950000700X
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[1] 1.Blackburn, N., On a special class of p-groups, Ada Math. 100 (1958), 45–92. Google Scholar

[2] 2.Gordejuela, J. J. Etayo, Klein surfaces with maximal symmetry and their groups of automorphisms, Math. Ann. 268 (1984), 533–538. Google Scholar | DOI

[3] 3.Gorenstein, D., Finite groups, (Harper and Row, 1968). Google Scholar

[4] 4.Greenleaf, N. and May, C. L., Bordered Klein surfaces with maximal symmetry, Trans. Amer. Math. Soc. 274 (1982), 265–283. Google Scholar | DOI

[5] 5.Hall, M., The theory of groups (Macmillan, 1959). Google Scholar

[6] 6.Hall, P., A contribution to the theory of groups of prime-power order, Proc. London Math. Soc. (2) 36 (1933), 29–95. Google Scholar

[7] 7.Huppert, B., Normalteiler und maximale Untergruppen endlicher Gruppen, Math. Z. 60 (1954), 409–434. Google Scholar | DOI

[8] 8.May, C. L., Large automorphism groups of compact Klein surfaces with boundary, Glasgow Math. J. 18 (1977), 1–10. Google Scholar

[9] 9.May, C. L., Maximal symmetry and fully wound coverings, Proc. Amer. Math. Soc. 79 (1980), 23–31. Google Scholar | DOI

[10] 10.May, C. L., The species of bordered Klein surfaces with maximal symmetry of low genus, Pacific J. Math. 111 (1984), 371–394. Google Scholar | DOI

[11] 11.May, C. L., A family of M*-groups, Canad. J. Math. 38 (1986), 1094–1109. Google Scholar

[12] 12.Rose, J. S., A course on group theory, (Cambridge University Press, 1978). Google Scholar

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