Finite primitive permutation groups containing a permutation having at most four cycles

被引：10

作者：

Guest, Simon ^{[1
]}

Morris, Joy ^{[2
]}

Praeger, Cheryl E. ^{[3
,5
]}

Spiga, Pablo ^{[4
]}

机构：

[1] 183 Fleet St, London EC4A 2BB, England

[2] Univ Lethbridge, Dept Math & Comp Sci, Lethbridge, AB T1K 3M4, Canada

[3] Univ Western Australia, Sch Math & Stat, Ctr Math Symmetry & Computat, Crawley, WA 6009, Australia

[4] Univ Milano Bicocca, Dipartimento Matemat & Applicaz, Via Cozzi 53, I-20125 Milan, Italy

[5] King Abdulaziz Univ, Jeddah 21413, Saudi Arabia

来源：

JOURNAL OF ALGEBRA | 2016年 / 454卷

基金：

澳大利亚研究理事会;

关键词：

Primitive permutation groups; Conjugacy classes; Cycle structure; NORMAL COVERINGS; UNORDERED SETS; PRIME-ORDER; TRANSITIVITY; POLYNOMIALS; ELEMENTS;

D O I：

10.1016/j.jalgebra.2015.12.032

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

引用

页码：233 / 251

页数：19

共 20 条

[1] ON THE MAXIMUM ORDERS OF ELEMENTS OF FINITE ALMOST SIMPLE GROUPS AND PRIMITIVE PERMUTATION GROUPS
Guest, Simon
Morris, Joy
Praeger, Cheryl E.
Spiga, Pablo
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2015, 367 (11) : 7665 - 7694
[2] A classification of primitive permutation groups with finite stabilizers
Smith, Simon M.
JOURNAL OF ALGEBRA, 2015, 432 : 12 - 21
[3] ON A CONJECTURE ON THE PERMUTATION CHARACTERS OF FINITE PRIMITIVE GROUPS
Spiga, Pablo
BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2020, 102 (01) : 77 - 90
[4] Sync-Maximal Permutation Groups Equal Primitive Permutation Groups
Hoffmann, Stefan
DESCRIPTIONAL COMPLEXITY OF FORMAL SYSTEMS, DCFS 2021, 2021, 13037 : 38 - 50
[5] Regular Subgroups of Primitive Permutation Groups
Liebeck, Martin W.
Praeger, Cheryl E.
Saxl, Jan
MEMOIRS OF THE AMERICAN MATHEMATICAL SOCIETY, 2010, 203 (952) : 1 - +
[6] Prime order derangements in primitive permutation groups
Burness, Timothy C.
Giudici, Michael
Wilson, Robert A.
JOURNAL OF ALGEBRA, 2011, 341 (01) : 158 - 178
[7] Primitive k-free permutation groups
Bates, C.
Bundy, D.
Hart, S.
Rowley, P.
ARCHIV DER MATHEMATIK, 2007, 88 (03) : 193 - 198
[8] Primitive k-free permutation groups
C. Bates
D. Bundy
S. Hart
P. Rowley
Archiv der Mathematik, 2007, 88 : 193 - 198
[9] On fixed points of elements in primitive permutation groups
Liebeck, Martin W.
Shalev, Aner
JOURNAL OF ALGEBRA, 2015, 421 : 438 - 459
[10] Transitive permutation groups with trivial four point stabilizers
Magaard, Kay
Waldecker, Rebecca
JOURNAL OF GROUP THEORY, 2015, 18 (05) : 687 - 740

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