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

[31] Commutators and commutator subgroups of finite p-groups
Kaushik, Rahul
Yadav, Manoj K.
JOURNAL OF ALGEBRA, 2021, 568 : 314 - 348
[32] CHARACTERIZATION OF FINITE p-GROUPS BY THEIR SCHUR MULTIPLIERS
Khamseh, Elaheh
Moghaddam, Mohammad Reza R.
Saeedi, Farshid
JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 2013, 12 (05)
[33] Counting p-groups and nilpotent groups
du Sautoy M.
Publications Mathématiques de l'Institut des Hautes Études Scientifiques, 2000, 92 (1): : 63 - 112
[34] Automorphism groups of polycyclic-by-finite groups and arithmetic groups
Baues O.
Grunewald F.
Publications Mathématiques de l'Institut des Hautes Études Scientifiques, 2006, 104 (1): : 213 - 268
[35] ON THE 2-NILPOTENT MULTIPLIER OF FINITE p-GROUPS
Niroomand, Peyman
Parvizi, Mohsen
GLASGOW MATHEMATICAL JOURNAL, 2015, 57 (01) : 201 - 210
[36] On finite p-groups whose automorphisms are all central
Vivek K. Jain
Manoj K. Yadav
Israel Journal of Mathematics, 2012, 189 : 225 - 236
[37] c-Nilpotent Multiplier of Finite p-Groups
Niroomand, Peyman
Johari, Farangis
Parvizi, Mohsen
BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, 2020, 43 (01) : 941 - 956
[38] Classification of Finite p-Groups by the Size of Their Schur Multipliers
Niroomand, Peyman
Johari, Farangis
BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, 2022, 45 (05) : 2137 - 2150
[39] MINIMAL NON-ABELIAN GROUPS AS AUTOMORPHISM GROUPS OF FINITE GROUPS
Fouladi, S.
Orfi, R.
JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 2014, 13 (05)
[40] Finite Groups with Automorphism Groups Having Orders 4pq2 (2 < p < q) I I
Zeng, Yu
Li, Jinbao
Chen, Guiyun
ALGEBRA COLLOQUIUM, 2017, 24 (01) : 153 - 168

← 1 2 3 4 5 →