Displaying similar documents to “Some simple groups which are determined by the set of their character degrees. II”

Huppert’s conjecture for F i 23

S. H. Alavi, A. Daneshkah, H. P. Tong-Viet, T. P. Wakefield (2011)

Rendiconti del Seminario Matematico della Università di Padova

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Finite groups with eight non-linear irreducible characters

Yakov Berkovich (1994)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

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This Note contains the complete list of finite groups, having exactly eight non-linear irreducible characters. In section 4 we consider in full details some typical cases.

Some results on the recognizability of the linear groups over the binary field

Mohammad Reza Darafsheh, Yaghoub Farjami, M. Khademi, Ali Reza Moghaddamfar (2005)

Commentationes Mathematicae Universitatis Carolinae

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In this paper, we first find the set of orders of all elements in some special linear groups over the binary field. Then, we will prove the characterizability of the special linear group PSL ( 13 , 2 ) using only the set of its element orders.

Groups where each element is conjugate to its certain power

Pál Hegedűs (2013)

Open Mathematics

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This paper deals with a rationality condition for groups. Let n be a fixed positive integer. Suppose every element g of the finite solvable group is conjugate to its nth power g n. Let p be a prime divisor of the order of the group. We conclude that the multiplicative order of n modulo p is small, or p is small.