A characterisation of PSL2(Zþλ) and PGL2(Zþλ)
1968 ◽
Vol 8
(3)
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pp. 523-543
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Keyword(s):
Let Fq denote the finite field with q elements, Zm the residue class ring Z/mZ. It is known that the projective linear groups G = PSL2(Fq) and PGL2(Fq) (q a prime-power ≥ 4) are characterised among finite insoluble groups by the property that, if two cyclic subgroups of G of even order intersect non-trivially, they generate a cyclic subgroup (cf. Brauer, Suzuki, Wall [2], Gorenstein, Walter [3]). In this paper, we give a similar characterisation of the groups G = PSL2 (Zþt+1) and PGL2 (Zþt+1) (p a prime ≥ 5, t ≥ 1).
2009 ◽
Vol 147
(1)
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pp. 9-29
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2019 ◽
Vol 1176
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pp. 042019
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1999 ◽
Vol 42
(3)
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pp. 621-640
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Keyword(s):
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1961 ◽
Vol 57
(3)
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pp. 483-488
Keyword(s):
1987 ◽
Vol 43
(2)
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pp. 171-175
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