Geodesic
Local finiteness of periodic sharply triply transitive groups
Algebra i logika, Tome 54 (2015) no. 1, pp. 70-84.

Voir la notice de l'article provenant de la source Math-Net.Ru

We prove local finiteness of sharply triply transitive permutation groups with periodic two-point stabilizers.
Keywords: sharply doubly transitive permutation groups, sharply triply transitive permutation groups, near-domains, near-fields. 
@article{AL_2015_54_1_a4,
     author = {A. I. Sozutov and E. B. Durakov},
     title = {Local finiteness of periodic sharply triply transitive groups},
     journal = {Algebra i logika},
     pages = {70--84},
     publisher = {mathdoc},
     volume = {54},
     number = {1},
     year = {2015},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/AL_2015_54_1_a4/}
}
TY  - JOUR
AU  - A. I. Sozutov
AU  - E. B. Durakov
TI  - Local finiteness of periodic sharply triply transitive groups
JO  - Algebra i logika
PY  - 2015
SP  - 70
EP  - 84
VL  - 54
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/AL_2015_54_1_a4/
LA  - ru
ID  - AL_2015_54_1_a4
ER  - 
%0 Journal Article
%A A. I. Sozutov
%A E. B. Durakov
%T Local finiteness of periodic sharply triply transitive groups
%J Algebra i logika
%D 2015
%P 70-84
%V 54
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/AL_2015_54_1_a4/
%G ru
%F AL_2015_54_1_a4
A. I. Sozutov; E. B. Durakov. Local finiteness of periodic sharply triply transitive groups. Algebra i logika, Tome 54 (2015) no. 1, pp. 70-84. http://geodesic.mathdoc.fr/item/AL_2015_54_1_a4/

[1] H. Wähling, Theorie der Fastkörper, Thalen Ferlag, Essen, 1987 | MR | Zbl

[2] M. Kholl, Teoriya grupp, IL, M., 1962

[3] O. H. Kegel, “Zur Struktur lokal endlicher Zassenhausgruppen”, Arch. Math., 18 (1967), 337–348 | DOI | MR | Zbl

[4] Nereshënnye voprosy teorii grupp, Kourovskaya tetrad, 18-e izd., In-t matem. SO RAN, Novosibirsk, 2014 http://www.math.nsc.ru/~alglog/18kt.pdf

[5] V. D. Mazurov, “O beskonechnykh gruppakh s abelevymi tsentralizatorami involyutsii”, Algebra i logika, 39:1 (2000), 74–86 | MR | Zbl

[6] V. D. Mazurov, “O tochno dvazhdy tranzitivnykh gruppakh”, Voprosy algebry i logiki, Trudy in-ta matem. SO RAN, 30, In-t matem. SO RAN, Novosibirsk, 1996, 114–118 | Zbl

[7] N. M. Suchkov, “O konechnosti nekotorykh tochno dvazhdy tranzitivnykh grupp”, Algebra i logika, 40:3 (2001), 344–351 | MR | Zbl

[8] T. Grundhöfer, E. Jabara, “Fixed-point-free 2-finite automorphism groups”, Arch. Math., 97:3 (2011), 219–223 | DOI | MR | Zbl

[9] A. I. Sozutov, “O gruppakh Shunkova, deistvuyuschikh svobodno na abelevykh gruppakh”, Sib. matem. zh., 54:1 (2013), 188–198 | MR | Zbl

[10] A. I. Sozutov, E. B. Durakov, O. V. Kravtsova, “O nekotorykh tochno trizhdy tranzitivnykh gruppakh”, Algebra, logika i prilozheniya, Tez. dokl. mezhd. konf. (g. Krasnoyarsk, 19–25 iyulya 2010 g.), Izd-vo FSU, 2010, 86–89

[11] W. Kerby, H. Wefelscheid, “Bemerkungen über Fastbereiche und scharf zweifach transitive Gruppen”, Abh. Math. Semin. Univ. Hamb., 37 (1972), 20–29 | DOI | MR | Zbl

[12] V. P. Shunkov, “O periodicheskikh gruppakh s pochti regulyarnoi involyutsiei”, Algebra i logika, 11:4 (1972), 470–494

[13] A. I. Sozutov, N. M. Suchkov, N. G. Suchkova, Beskonechnye gruppy s involyutsiyami, Sib. federal. un-t, Krasnoyarsk, 2011

[14] V. V. Belyaev, “Gruppy s pochti regulyarnoi involyutsiei”, Algebra i logika, 26:5 (1987), 531–535 | MR | Zbl

[15] M. I. Kargapolov, Yu. I. Merzlyakov, Osnovy teorii grupp, Nauka, M., 1982 | MR