Algebra i logika, Tome 39 (2000) no. 6, pp. 648-661
Citer cet article
A. V. Zavarnitsin. Recognition of alternating groups of degrees $r+1$ and $r+2$ for prime $r$ and the group. Algebra i logika, Tome 39 (2000) no. 6, pp. 648-661. http://geodesic.mathdoc.fr/item/AL_2000_39_6_a1/
@article{AL_2000_39_6_a1,
author = {A. V. Zavarnitsin},
title = {Recognition of alternating groups of degrees~$r+1$ and $r+2$ for prime~$r$ and the group},
journal = {Algebra i logika},
pages = {648--661},
year = {2000},
volume = {39},
number = {6},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/AL_2000_39_6_a1/}
}
TY - JOUR
AU - A. V. Zavarnitsin
TI - Recognition of alternating groups of degrees $r+1$ and $r+2$ for prime $r$ and the group
JO - Algebra i logika
PY - 2000
SP - 648
EP - 661
VL - 39
IS - 6
UR - http://geodesic.mathdoc.fr/item/AL_2000_39_6_a1/
LA - ru
ID - AL_2000_39_6_a1
ER -
%0 Journal Article
%A A. V. Zavarnitsin
%T Recognition of alternating groups of degrees $r+1$ and $r+2$ for prime $r$ and the group
%J Algebra i logika
%D 2000
%P 648-661
%V 39
%N 6
%U http://geodesic.mathdoc.fr/item/AL_2000_39_6_a1/
%G ru
%F AL_2000_39_6_a1
It is proved that a finite group whose element order set is the same as that of an alternating group $A_n$ of degree $n=r+1$ or $r+2$ for prime $r>5$ or $n=16$ is isomorphic to $A_n$.
