ON A THEOREM OF HUGHES AND THOMPSON

被引：2

作者：

BRYCE, RA ^{[1
]}

机构：

[1] AUSTRALIAN NATL UNIV,SCH MATH SCI,CANBERRA,ACT 0200,AUSTRALIA

来源：

BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY | 1994年 / 50卷 / 01期

关键词：

D O I：

10.1017/S0004972700009540

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We generalise the notion of proper Hughes subgroup in a group, asking that, for some prime p, the set-complement of the union of two proper subgroups consist solely of elements of order p. A structure theorem for non-p-groups of this type is proved.

引用

页码：41 / 48

页数：8

共 8 条

[1] THE SUBGROUPS OF BAER AND HUGHES [J].

BRYCE, RA .

ARCHIV DER MATHEMATIK, 1993, 61 (04) :305-312

[2] THE FITTING LENGTH OF THE HUGHES SUBGROUP [J].

ESPUELAS, A .

JOURNAL OF ALGEBRA, 1987, 105 (02) :365-371

[3]

Hughes D.R., 1959, PAC J MATH, V9, P1097

[4]

Hughes DR., 1957, B AM MATH SOC, V63, P209, DOI [10.1090/S0002-9904-1957-10108-6, DOI 10.1090/S0002-9904-1957-10108-6]

[5]

Kegel O.H., 1960, MATH Z, V75, P373

[6]

KHUKHRO EJ, 1987, ALGEBRA LOGIC, V26, P398

[7]

Thompson J, 1959, Proc Natl Acad Sci U S A, V45, P578, DOI 10.1073/pnas.45.4.578

[8]

WALL GE, 1967, 1965 P INT C THEOR G, P357

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