The History of the Divisibility Conjecture for Automorphism Groups of Finite p-Groups

被引：1

作者：

Dietz, Jill ^{[1
]}

机构：

[1] St Olaf Coll, Dept Math Stat & Comp Sci, Northfield, MN 55057 USA

来源：

ADVANCES IN GROUP THEORY AND APPLICATIONS | 2019年 / 8卷

关键词：

automorphism group; ORDER; CLASSIFICATION;

D O I：

10.32037/agta-2019-011

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We give a history of the recently settled conjecture that if G is a finite, non-cyclic p-group with vertical bar G vertical bar > p(2), then vertical bar G vertical bar divides vertical bar Aut G vertical bar.

引用

页码：49 / 84

页数：36

共 50 条

[21] AUTOMORPHISM GROUPS OF ABELIAN P-GROUPS
HAUSEN, J
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1975, 48 (01) : 67 - 72
[22] On the Coincidence of the Central and Absolute Central Automorphism Groups of Finite p-Groups
M. Singh
D. Gumber
Mathematical Notes, 2020, 107 : 863 - 866
[23] On the Hughes conjecture for some finite p-groups
Singh, Mandeep
Garg, Rohit
ANNALI DI MATEMATICA PURA ED APPLICATA, 2024, 203 (04) : 1783 - 1791
[24] On the Coincidence of the Central and Absolute Central Automorphism Groups of Finite p-Groups
Singh, M.
Gumber, D.
MATHEMATICAL NOTES, 2020, 107 (5-6) : 863 - 866
[25] INFINITE ABELIAN P-GROUPS AND FINITE NORMAL SUBGROUPS OF THEIR AUTOMORPHISM GROUPS
HAUSEN, J
NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1972, 19 (01): : A90 - &
[26] On a conjecture about automorphisms of finite p-groups
Mehdi Shabani Attar
Archiv der Mathematik, 2009, 93 : 399 - 403
[27] ON FINITE P-GROUPS NOT SATISFYING THE HUGHES CONJECTURE
KHUKHRO, EI
SIBERIAN MATHEMATICAL JOURNAL, 1994, 35 (01) : 202 - 207
[28] On a conjecture about automorphisms of finite p-groups
Attar, Mehdi Shabani
ARCHIV DER MATHEMATIK, 2009, 93 (05) : 399 - 403
[29] AUTOMORPHISM GROUP OF FINITE P-ABELIAN P-GROUPS
DAVITT, RM
ILLINOIS JOURNAL OF MATHEMATICS, 1972, 16 (01) : 76 - &
[30] p-groups of maximal class as automorphism groups
Cutolo, G
Smith, H
Wiegold, J
ILLINOIS JOURNAL OF MATHEMATICS, 2003, 47 (1-2) : 141 - 156

← 1 2 3 4 5 →