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LINEAR GROUPS GENERATED BY TRANSVECTIONS

V N Serežkin

Mathematics of the USSR-Izvestiya · 1976 · 66 citations · 6 references

DOI

Concepts

Abstract

In this paper we classify the irreducible linear groups generated by transvections over a finite field of characteristic p ≥ 3.Bibliography: 14 titles.

References

6

Finite Permutation Groups.

Franklin Haimo, Helmut Wielandt · American Mathematical Monthly · 1966 · 1.7K citations

Determination of the ordinary and modular ternary linear groups

Howard H. Mitchell · Transactions of the American Mathematical Society · 1911 · 247 citations

, , +8

Determination of the Ternary Collineation Groups Whose Coefficients Lie in the GF(2 n )

Richard Hartley · Annals of Mathematics · 1925 · 177 citations

, , +1

Some groups generated by transvections

J. E. McLaughlin · Archiv der Mathematik · 1967 · 126 citations

, , +4

The subgroups of the quaternary abelian linear group

Howard H. Mitchell · Transactions of the American Mathematical Society · 1914 · 71 citations

, , +3