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.
@article{bwmeta1.element.doi-10_1515_math-2017-0092,
author = {Yong Yang and Shitian Liu and Zhanghua Zhang},
title = {OD-characterization of alternating groupsA p + d },
journal = {Open Mathematics},
volume = {15},
year = {2017},
pages = {1090-1098},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_1515_math-2017-0092}
}
Yong Yang; Shitian Liu; Zhanghua Zhang. OD-characterization of alternating groupsA p + d . Open Mathematics, Tome 15 (2017) pp. 1090-1098. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_1515_math-2017-0092/