Relation between properties of intersections of S_π-subgroups and π-length in a finite π-solvable group

1. P. Hall and G. Higman, “The p-length of a p-soluble group, and reduction theorems for Burnside's problem,” Proc. Lond. Math. Soc. (3),6, 1–42 (1956).

   Google Scholar 

2. N. D. Romanenko, “A bound for the π-length of a finite π-solvable group,” in: Proc. XIXth All-Union Algebraic Conference, L'vov, September 9–11, 1987, Part 2 (1987), p. 245.

3. N. D. Romanenko, “On the relation between subgroup structure and π-length in finite π-solvable groups,” in: Proc. XIth All-Union Symposium on Group Theory, January 31-February 2, 1989, Sverdlovsk (1989), p. 98.

4. B. Huppert, Endliche Gruppen, I, Springer, Berlin (1967).

   Google Scholar 

5. S. V. Putilov, “On the π-length of π-solvable finite groups,” Vestsi Akad. Navuk B. SSR, Ser. Fiz.-Mat. Navuk, No. 3, 9–12 (1983).

   Google Scholar 

6. A. G. Anishchenko and V. S. Monakhov, “Central intersections and p-length of p-solvable groups,” Dokl. Akad. Nauk B. SSR,21, No. 11, 968–971 (1977).

   Google Scholar 

7. N. D. Romanenko, “Characterization of finite π-solvable groups of π-length 1,” in: Arithmetical and Subgroup Structure of Finite Groups [in Russian], Minsk (1988), pp. 108–116.

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