P-group generation algorithm

In mathematics, specifically group theory, finite groups of prime power order $p^{n}$ , for a fixed prime number $p$ and varying integer exponents $n\geq 0$ , are briefly called finite p-groups.

The p-group generation algorithm by M. F. Newman ^[1] and E. A. O'Brien ^[2] ^[3] is a recursive process for constructing the descendant tree of an assigned finite p-group which is taken as the root of the tree.

^ Newman, M. F. (1977). Determination of groups of prime-power order. pp. 73-84, in: Group Theory, Canberra, 1975, Lecture Notes in Math., Vol. 573, Springer, Berlin.
^ O'Brien, E. A. (1990). "The p-group generation algorithm". J. Symbolic Comput. 9 (5–6): 677–698. doi:10.1016/s0747-7171(08)80082-x.
^ Holt, D. F., Eick, B., O'Brien, E. A. (2005). Handbook of computational group theory. Discrete mathematics and its applications, Chapman and Hall/CRC Press.{{cite book}}: CS1 maint: multiple names: authors list (link)

[Nm2-1] Newman, M. F. (1977). Determination of groups of prime-power order. pp. 73-84, in: Group Theory, Canberra, 1975, Lecture Notes in Math., Vol. 573, Springer, Berlin.

[Ob-2] O'Brien, E. A. (1990). "The p-group generation algorithm". J. Symbolic Comput. 9 (5–6): 677–698. doi:10.1016/s0747-7171(08)80082-x.

[HEO-3] Holt, D. F., Eick, B., O'Brien, E. A. (2005). Handbook of computational group theory. Discrete mathematics and its applications, Chapman and Hall/CRC Press.{{cite book}}: CS1 maint: multiple names: authors list (link)

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