Transitive permutation groups and groups with finite derived groups.
James Wiegold, J.A.H. Shepperd (1963)
Mathematische Zeitschrift
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James Wiegold, J.A.H. Shepperd (1963)
Mathematische Zeitschrift
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Bargachev, V. (2004)
Zapiski Nauchnykh Seminarov POMI
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David A. Foulser (1964/65)
Mathematische Zeitschrift
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F.N. Cole (1893)
Bulletin of the New York Mathematical Society
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Karel Dekimpe (2003)
Fundamenta Mathematicae
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In [3], the authors initiated a technique of using affine representations to study the groups of units of integral group rings of crystallographic groups. In this paper, we use this approach for some special classes of crystallographic groups. For a first class of groups we obtain a normal complement for the group inside the group of normalized units. For a second class of groups we show that the Zassenhaus conjectures ZC1 and ZC3 are valid. This generalizes the results known for the...
Michael J. Kallaher (1977)
Mathematische Zeitschrift
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Boya, Luis J. (2011)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Crites, Andrew (2010)
The Electronic Journal of Combinatorics [electronic only]
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Norman L. Johnson, Michael J. Kallaher (1973/74)
Mathematische Zeitschrift
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Colin C. Graham (1977)
Colloquium Mathematicae
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S. Lajos (1964)
Matematički Vesnik
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Papi, Paolo (1997)
The Electronic Journal of Combinatorics [electronic only]
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Yablan, Slavik (1986)
Publications de l'Institut Mathématique. Nouvelle Série
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Karl Strambach, Adriano Barlotti (1984)
Mathematische Zeitschrift
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M. I. AlAli, Bilal Al-Hasanat, I. Sarayreh, M. Kasassbeh, M. Shatnawi, A. Neumann (2009)
Colloquium Mathematicae
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The aim of this paper is to introduce the notion of BG-injectors of finite groups and invoke this notion to determine the B-injectors of Sₙ and Aₙ and to prove that they are conjugate. This paper provides a new, more straightforward and constructive proof of a result of Bialostocki which determines the B-injectors of the symmetric and alternating groups.