Some simple groups which are determined by the set of their character degrees. II

Bertram Huppert

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

Finite Simple Groups Admitting Minimally Irreducible Characters of Prime Power Degree

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In this paper we classify the finite simple groups that admit an irreducible complex character of prime power degree which is reducible over any proper sub-group.

Huppert’s conjecture for $F i_{23}$

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Finite groups with eight non-linear irreducible characters

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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)

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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.

A note on finite groups with few values in a column of the character table

Mariagrazia Bianchi, David Chillag, Emanuele Pacifici (2006)

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A new characterization of some alternating and symmetric groups.

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

Finite Simple Groups Admitting Minimally Irreducible Characters of Prime Power Degree

Huppert’s conjecture for F i 23

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

Groups where each element is conjugate to its certain power

A note on finite groups with few values in a column of the character table

A new characterization of some alternating and symmetric groups.

Huppert’s conjecture for $F i_{23}$