# OD-characterization of alternating groupsA p + d

Yong Yang; Shitian Liu; Zhanghua Zhang

Open Mathematics (2017)

- Volume: 15, Issue: 1, page 1090-1098
- ISSN: 2391-5455

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topYong 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 -

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