ON NONINNER AUTOMORPHISMS OF FINITE p-GROUPS THAT FIX THE CENTER ELEMENTWISE

被引：4

作者：

Ghoraishi, S. Mohsen ^{[1
]}

机构：

[1] Shahid Chamran Univ Ahvaz, Dept Math, Ahvaz, Iran

来源：

INTERNATIONAL JOURNAL OF GROUP THEORY | 2019年 / 8卷 / 01期

关键词：

p-Groups; automorphisms; noninner automorphisms; OUTER AUTOMORPHISMS; ORDER-P;

D O I：

10.22108/ijgt.2018.108082.1457

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we show that every finite nonabelian p-group G in which the Frattini subgroup Phi (G) has order <= p(5) admits a noninner automorphism of order p leaving the center Z (G) elementwise fixed. As a consequence it follows that the order of a possible counterexample to the conjecture of Berkovich is at least p(8).

引用

页码：1 / 9

页数：9

共 50 条

[41] Class preserving automorphisms of finite p-groups
Yadav, Manoj K.
[J]. JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, 2007, 75 : 755 - 772
[42] On Commuting Automorphisms of Some Finite p-Groups
Garg, R.
Gumber, D.
[J]. MATHEMATICAL NOTES, 2020, 107 (3-4) : 525 - 528
[43] On a conjecture about automorphisms of finite p-groups
Mehdi Shabani Attar
[J]. Archiv der Mathematik, 2009, 93 : 399 - 403
[44] Automorphisms of finite p-groups admitting a partition
Khukhro, E. I.
[J]. ALGEBRA AND LOGIC, 2012, 51 (03) : 264 - 277
[45] On almost regular automorphisms of finite p-groups
Jaikin-Zapirain, A
[J]. ADVANCES IN MATHEMATICS, 2000, 153 (02) : 391 - 402
[46] On a question about automorphisms of finite p-groups
Cutolo, G
[J]. JOURNAL OF GROUP THEORY, 2006, 9 (02) : 231 - 250
[47] On a conjecture about automorphisms of finite p-groups
Attar, Mehdi Shabani
[J]. ARCHIV DER MATHEMATIK, 2009, 93 (05) : 399 - 403
[48] Finite p-groups with few p-automorphisms
Malinowska, I
[J]. JOURNAL OF GROUP THEORY, 2001, 4 (04) : 395 - 400
[49] On central automorphisms that fix the centre elementwise
Attar, Mehdi Shabani
[J]. ARCHIV DER MATHEMATIK, 2007, 89 (04) : 296 - 297
[50] p-groups of automorphisms of Abelian p-groups
Khukhro E.I.
[J]. Algebra and Logic, 2000, 39 (3) : 207 - 214

← 1 2 3 4 5 →