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The structure of finite groups of conjugate rank 2
被引:17
作者
:
论文数:
引用数:
h-index:
机构:
Dolfi, Silvio
[
1
]
Jabara, Enrico
论文数:
0
引用数:
0
h-index:
0
机构:
Univ CaFoscari, Dipartimento Matemat Applicata, I-30123 Venice, Italy
Univ Florence, Dipartimento Matemat U Dini, I-50134 Florence, Italy
Jabara, Enrico
[
2
]
机构
:
[1]
Univ Florence, Dipartimento Matemat U Dini, I-50134 Florence, Italy
[2]
Univ CaFoscari, Dipartimento Matemat Applicata, I-30123 Venice, Italy
来源
:
BULLETIN OF THE LONDON MATHEMATICAL SOCIETY
|
2009年
/ 41卷
关键词
:
D O I
:
10.1112/blms/bdp072
中图分类号
:
O1 [数学];
学科分类号
:
0701 ;
070101 ;
摘要
:
We give a structure theorem for the finite groups with three conjugacy class sizes. In particular, they are solvable groups with derived length at most 3 or nilpotent groups.
引用
收藏
页码:916 / 926
页数:11
相关论文
共 14 条
[1]
ON A GRAPH RELATED TO CONJUGACY CLASSES OF GROUPS
BERTRAM, EA
论文数:
0
引用数:
0
h-index:
0
机构:
TEL AVIV UNIV,RAYMOND & BEVERLY SACKLER FAC EXACT SCI,SCH MATH SCI,IL-69978 TEL AVIV,ISRAEL
BERTRAM, EA
HERZOG, M
论文数:
0
引用数:
0
h-index:
0
机构:
TEL AVIV UNIV,RAYMOND & BEVERLY SACKLER FAC EXACT SCI,SCH MATH SCI,IL-69978 TEL AVIV,ISRAEL
HERZOG, M
MANN, A
论文数:
0
引用数:
0
h-index:
0
机构:
TEL AVIV UNIV,RAYMOND & BEVERLY SACKLER FAC EXACT SCI,SCH MATH SCI,IL-69978 TEL AVIV,ISRAEL
MANN, A
[J].
BULLETIN OF THE LONDON MATHEMATICAL SOCIETY,
1990,
22
: 569
-
575
[2]
FINITE-GROUPS OF CONJUGATE RANK 2
CAMINA, AR
论文数:
0
引用数:
0
h-index:
0
机构:
UNIV E ANGLIA,SCH MATH & PHYS,NORWICH,ENGLAND
UNIV E ANGLIA,SCH MATH & PHYS,NORWICH,ENGLAND
CAMINA, AR
[J].
NAGOYA MATHEMATICAL JOURNAL,
1974,
53
(MAY)
: 47
-
57
[3]
Sets of p-powers as conjugacy class sizes
Cossey, J
论文数:
0
引用数:
0
h-index:
0
机构:
Australian Natl Univ, Sch Math Sci, Dept Math, Canberra, ACT 0200, Australia
Australian Natl Univ, Sch Math Sci, Dept Math, Canberra, ACT 0200, Australia
Cossey, J
论文数:
引用数:
h-index:
机构:
Hawkes, T
[J].
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY,
2000,
128
(01)
: 49
-
51
[4]
Higman G., 1957, J. London Math. Soc., V32, P335
[5]
ORBIT SIZES OF P-GROUPS
HUPPERT, B
论文数:
0
引用数:
0
h-index:
0
机构:
Fachbereich 17 Mathematik, Johannes Gutenberg-Universität, Mainz, D-6500
HUPPERT, B
MANZ, O
论文数:
0
引用数:
0
h-index:
0
机构:
Fachbereich 17 Mathematik, Johannes Gutenberg-Universität, Mainz, D-6500
MANZ, O
[J].
ARCHIV DER MATHEMATIK,
1990,
54
(02)
: 105
-
110
[6]
Huppert B, 1982, Finite Groups, VII
[7]
Subgroups generated by small classes in finite groups
Isaacs, I. M.
论文数:
0
引用数:
0
h-index:
0
机构:
Univ Wisconsin, Dept Math, Madison, WI 53706 USA
Univ Wisconsin, Dept Math, Madison, WI 53706 USA
Isaacs, I. M.
[J].
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY,
2008,
136
(07)
: 2299
-
2301
[8]
GROUPS WITH MANY EQUAL CLASSES
ISAACS, IM
论文数:
0
引用数:
0
h-index:
0
ISAACS, IM
[J].
DUKE MATHEMATICAL JOURNAL,
1970,
37
(03)
: 501
-
&
[9]
On finite p-groups which have only two conjugacy lengths
Ishikawa, K
论文数:
0
引用数:
0
h-index:
0
机构:
Chiba Univ, Fac Sci, Dept Math, Inage Ku, Chiba 2638522, Japan
Chiba Univ, Fac Sci, Dept Math, Inage Ku, Chiba 2638522, Japan
Ishikawa, K
[J].
ISRAEL JOURNAL OF MATHEMATICS,
2002,
129
(1)
: 119
-
123
[10]
It N., 1953, Nagoya Math, V6, P17, DOI [10.1017/S0027763000016937, DOI 10.1017/S0027763000016937]
←
1
2
→
共 14 条
[1]
ON A GRAPH RELATED TO CONJUGACY CLASSES OF GROUPS
BERTRAM, EA
论文数:
0
引用数:
0
h-index:
0
机构:
TEL AVIV UNIV,RAYMOND & BEVERLY SACKLER FAC EXACT SCI,SCH MATH SCI,IL-69978 TEL AVIV,ISRAEL
BERTRAM, EA
HERZOG, M
论文数:
0
引用数:
0
h-index:
0
机构:
TEL AVIV UNIV,RAYMOND & BEVERLY SACKLER FAC EXACT SCI,SCH MATH SCI,IL-69978 TEL AVIV,ISRAEL
HERZOG, M
MANN, A
论文数:
0
引用数:
0
h-index:
0
机构:
TEL AVIV UNIV,RAYMOND & BEVERLY SACKLER FAC EXACT SCI,SCH MATH SCI,IL-69978 TEL AVIV,ISRAEL
MANN, A
[J].
BULLETIN OF THE LONDON MATHEMATICAL SOCIETY,
1990,
22
: 569
-
575
[2]
FINITE-GROUPS OF CONJUGATE RANK 2
CAMINA, AR
论文数:
0
引用数:
0
h-index:
0
机构:
UNIV E ANGLIA,SCH MATH & PHYS,NORWICH,ENGLAND
UNIV E ANGLIA,SCH MATH & PHYS,NORWICH,ENGLAND
CAMINA, AR
[J].
NAGOYA MATHEMATICAL JOURNAL,
1974,
53
(MAY)
: 47
-
57
[3]
Sets of p-powers as conjugacy class sizes
Cossey, J
论文数:
0
引用数:
0
h-index:
0
机构:
Australian Natl Univ, Sch Math Sci, Dept Math, Canberra, ACT 0200, Australia
Australian Natl Univ, Sch Math Sci, Dept Math, Canberra, ACT 0200, Australia
Cossey, J
论文数:
引用数:
h-index:
机构:
Hawkes, T
[J].
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY,
2000,
128
(01)
: 49
-
51
[4]
Higman G., 1957, J. London Math. Soc., V32, P335
[5]
ORBIT SIZES OF P-GROUPS
HUPPERT, B
论文数:
0
引用数:
0
h-index:
0
机构:
Fachbereich 17 Mathematik, Johannes Gutenberg-Universität, Mainz, D-6500
HUPPERT, B
MANZ, O
论文数:
0
引用数:
0
h-index:
0
机构:
Fachbereich 17 Mathematik, Johannes Gutenberg-Universität, Mainz, D-6500
MANZ, O
[J].
ARCHIV DER MATHEMATIK,
1990,
54
(02)
: 105
-
110
[6]
Huppert B, 1982, Finite Groups, VII
[7]
Subgroups generated by small classes in finite groups
Isaacs, I. M.
论文数:
0
引用数:
0
h-index:
0
机构:
Univ Wisconsin, Dept Math, Madison, WI 53706 USA
Univ Wisconsin, Dept Math, Madison, WI 53706 USA
Isaacs, I. M.
[J].
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY,
2008,
136
(07)
: 2299
-
2301
[8]
GROUPS WITH MANY EQUAL CLASSES
ISAACS, IM
论文数:
0
引用数:
0
h-index:
0
ISAACS, IM
[J].
DUKE MATHEMATICAL JOURNAL,
1970,
37
(03)
: 501
-
&
[9]
On finite p-groups which have only two conjugacy lengths
Ishikawa, K
论文数:
0
引用数:
0
h-index:
0
机构:
Chiba Univ, Fac Sci, Dept Math, Inage Ku, Chiba 2638522, Japan
Chiba Univ, Fac Sci, Dept Math, Inage Ku, Chiba 2638522, Japan
Ishikawa, K
[J].
ISRAEL JOURNAL OF MATHEMATICS,
2002,
129
(1)
: 119
-
123
[10]
It N., 1953, Nagoya Math, V6, P17, DOI [10.1017/S0027763000016937, DOI 10.1017/S0027763000016937]
←
1
2
→