On the А-F-hypercenter of finite groups.

Автор(и)

  • V. Murashka Faculty of Mathematics and Technologies of Programming, Francisk Skorina Gomel State University, Gomel, Belarus

Ключові слова:

Finite group, supersoluble group, Sylow tower group, hereditary saturated formation

Анотація

All groups considered here will be finite.

Посилання

K. Dorek and T. Hawkes, Finite soluble groups, Walter de Gruyter, Berlin — New York, 1992.

A. F. Vasil’ev, T. I. Vasil’eva and V. N. Tyutyanov, On the finite groups of supersoluble type, Sib. Math. J., 51 (2010), no. 6, 1004–1012.

V. S. Monakhov and V. N. Kniahina, Finite groups with P-subnormal subgroups, Ricerche mat., 62 (2013), 307–322.

I. Zimmermann, Submodular subgroups in finite groups, Math. Z., 202 (1989), 545–557.

V. I. Murashka, On analogues of Baer’s theorems for widely supersoluble hypercenter of finite groups, Asian- European J. Math., 11 (2018), no. 3, 1850043 (8 pages).

R. Baer, Supersoluble immersion, Canad. J. Math., 11 (1959), 353–369.

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