ON FINITE P-GROUPS WITH ISOMORPHIC MAXIMAL-SUBGROUPS

被引：7
|
作者：
HERMANN, PZ
机构：
[1] Department of Algebra and Number Theory, Eötvös Loránd University, Budapest H-1088
来源：
JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY SERIES A-PURE MATHEMATICS AND STATISTICS | 1990年 / 48卷
基金：
匈牙利科学研究基金会;
关键词：
D O I：
10.1017/S1446788700035631
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Finite p-groups with all of their maximal subgroups isomorphic are studied by means of the coclass. All such groups of coclass 1 and 2 are determined, while those of coclass 3 are shown to have order at most p13. A general bound for the order is given as a function of p and the coclass only. © 1990, Australian Mathematical Society. All rights reserved.
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页码：199 / 213
页数：15
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