A new characterization of some families of finite simple groups
Rendiconti del Seminario Matematico della Università di Padova, Tome 137 (2017), pp. 57-74.

Let G be a finite group. A vanishing element of G is an element gG such that χ(g)=0 for some irreducible complex character χ of G. Denote by Vo (G) the set of the orders of vanishing elements of G. In this paper, we prove that if G is a finite group such that Vo (G)= Vo (M) and |G|=|M|, then GM, where M is a sporadic simple group, an alternating group, a projective special linear group L 2 (p), where p is an odd prime or a finite simple K n -group, where n{3,4}. These results confirm the conjecture posed in [17] for the simple groups under study.

DOI : 10.4171/RSMUP/137-3
Classification : 20
Mots clés : Finite simple groups, zeros of characters
Foroudi Ghasemabadi, M. 1 ; Iranmanesh, Ali 1 ; Ahanjideh, M. 1

1 Tarbiat Modares University, TEHRAN, IRAN
@article{RSMUP_2017__137__57_0,
     author = {Foroudi Ghasemabadi, M. and Iranmanesh, Ali and Ahanjideh, M.},
     title = {A new characterization of some families of finite simple groups},
     journal = {Rendiconti del Seminario Matematico della Universit\`a di Padova},
     pages = {57--74},
     publisher = {European Mathematical Society Publishing House},
     address = {Zuerich, Switzerland},
     volume = {137},
     year = {2017},
     doi = {10.4171/RSMUP/137-3},
     mrnumber = {3652868},
     zbl = {1388.20024},
     url = {http://www.numdam.org/articles/10.4171/RSMUP/137-3/}
}
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Foroudi Ghasemabadi, M.; Iranmanesh, Ali; Ahanjideh, M. A new characterization of some families of finite simple groups. Rendiconti del Seminario Matematico della Università di Padova, Tome 137 (2017), pp. 57-74. doi : 10.4171/RSMUP/137-3. http://www.numdam.org/articles/10.4171/RSMUP/137-3/

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