Abstract
This chapter is a collection of some basic results in the theory of p-groups. Beginning with central series of groups, we investigate regular p-groups and present some numerical results on p-groups with large centers. We then present a generalization of a theorem of Gaschütz, and conlude the chapter with a quick review of pro-p-groups and coclass graphs.
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© 2018 Springer Nature Singapore Pte Ltd.
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Passi, I.B.S., Singh, M., Yadav, M.K. (2018). Preliminaries on p-Groups. In: Automorphisms of Finite Groups. Springer Monographs in Mathematics. Springer, Singapore. https://doi.org/10.1007/978-981-13-2895-4_1
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DOI: https://doi.org/10.1007/978-981-13-2895-4_1
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Publisher Name: Springer, Singapore
Print ISBN: 978-981-13-2894-7
Online ISBN: 978-981-13-2895-4
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