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The minimal generating sets of $\mathrm{PSL} (2, p)$ of size four

Part of: Linear algebraic groups and related topics Structure and classification of infinite or finite groups

Published online by Cambridge University Press:  06 November 2013

Sebastian Jambor
Sebastian Jambor*
Affiliation:
Department of Mathematics The University of Auckland Private Bag 92019 Auckland, New Zealand email [email protected]

Abstract

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We show that there are only finitely many primes $p$ such that $\mathrm{PSL} (2, p)$ has a minimal generating set of size four.

Supplementary materials are available with this article.

MSC classification

Secondary: 20E34: General structure theorems 20G40: Linear algebraic groups over finite fields
Type
Research Article
Information
LMS Journal of Computation and Mathematics , Volume 16 , October 2013 , pp. 419 - 423
Copyright
© The Author(s) 2013 

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