Finite p-Groups of Nilpotency Class 3 with Two Conjugacy Class Sizes

被引：3

作者：

Naik, Tushar Kanta ^{[1
]}

Kitture, Rahul Dattatraya ^{[1
]}

Yadav, Manoj K. ^{[1
]}

机构：

[1] Harish Chandra Res Inst, HBNI, Chhatnag Rd, Allahabad 211019, Uttar Pradesh, India

来源：

ISRAEL JOURNAL OF MATHEMATICS | 2020年 / 236卷 / 02期

关键词：

D O I：

10.1007/s11856-020-1990-3

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

It is proved, for a prime p > 2 and an integer n >= 1, that finite p-groups of nilpotency class 3 and having only two conjugacy class sizes, 1 and p(n), exist if and only if n is even; moreover, for a given even positive integer n, such a group is unique up to isoclinism (in the sense of Philip Hall).

引用

页码：899 / 930

页数：32

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