Enumeration of regular maps of given type on twisted linear fractional groups

被引：0

作者：

Macaj, Martin ^{[1
]}

Pavlikova, Sona ^{[2
]}

Siran, Jozef ^{[3
,4
]}

机构：

[1] Comenius Univ, Bratislava, Slovakia

[2] A Dubcek Univ Trencin, Trencin, Slovakia

[3] Open Univ, Milton Keynes, England

[4] Slovak Univ Technol Bratislava, Bratislava, Slovakia

来源：

BULLETIN OF THE LONDON MATHEMATICAL SOCIETY | 2023年 / 55卷 / 04期

关键词：

HYPERMAPS;

D O I：

10.1112/blms.12811

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We enumerate orientably regular maps of any given type with automorphism group isomorphic to a twisted linear fractional group; these groups form the 'other' family in Zassenhaus' classification of finite sharply 3-transitive groups.

引用

页码：1668 / 1684

页数：17

共 23 条

[11] Jones G.A., 1997, MATH SLOVACA, V47, P1
[12] JONES GA, 1978, P LOND MATH SOC, V37, P273
[13] REE GROUPS AND RIEMANN SURFACES
JONES, GA
[J]. JOURNAL OF ALGEBRA, 1994, 165 (01) : 41 - 62
[14] JONES GA, 1993, J LOND MATH SOC, V48, P117
[15] Jones GA, 2016, ARS MATH CONTEMP, V10, P237
[16] Jones GA, 2013, ARS MATH CONTEMP, V6, P25
[17] Machbet A.M., 1967, P S PURE MATH, V12, P14
[18] Regular maps with nilpotent automorphism groups
Malnic, Aleksander
Nedela, Roman
Skoviera, Martin
[J]. EUROPEAN JOURNAL OF COMBINATORICS, 2012, 33 (08) : 1974 - 1986
[19] Pavlikova S., 2022, ELECTRON J LINEAR AL, V50, P3940
[20] GROUPS RELATED TO COMPACT RIEMANN SURFACES
SAH, CH
[J]. ACTA MATHEMATICA UPPSALA, 1969, 123 (1-2): : 13 - &

← 1 2 3 →