OD-characterization of alternating groupsA p + d

Yong Yang, Shitian Liu, and Zhanghua Zhang. "OD-characterization of alternating groupsA p + d ." Open Mathematics 15.1 (2017): 1090-1098. <http://eudml.org/doc/288478>.

@article{YongYang2017,
abstract = {Let An be an alternating group of degree n. Some authors have proved that A10, A147 and A189 cannot be OD-characterizable. On the other hand, others have shown that A16, A23+4, and A23+5 are OD-characterizable. We will prove that the alternating groups Ap+d except A10, are OD-characterizable, where p is a prime and d is a prime or equals to 4. This result generalizes other results.},
author = {Yong Yang, Shitian Liu, Zhanghua Zhang},
journal = {Open Mathematics},
keywords = {Order component; Element order; Alternating group; Degree pattern; Prime graph; Simple group},
language = {eng},
number = {1},
pages = {1090-1098},
title = {OD-characterization of alternating groupsA p + d },
url = {http://eudml.org/doc/288478},
volume = {15},
year = {2017},
}

TY - JOUR
AU - Yong Yang
AU - Shitian Liu
AU - Zhanghua Zhang
TI - OD-characterization of alternating groupsA p + d
JO - Open Mathematics
PY - 2017
VL - 15
IS - 1
SP - 1090
EP - 1098
AB - Let An be an alternating group of degree n. Some authors have proved that A10, A147 and A189 cannot be OD-characterizable. On the other hand, others have shown that A16, A23+4, and A23+5 are OD-characterizable. We will prove that the alternating groups Ap+d except A10, are OD-characterizable, where p is a prime and d is a prime or equals to 4. This result generalizes other results.
LA - eng
KW - Order component; Element order; Alternating group; Degree pattern; Prime graph; Simple group
UR - http://eudml.org/doc/288478
ER -