Congruences in finite $p$-groups

Maria Loukaki (University of Crete)

20-Feb-2023, 14:00-15:00 (13 months ago)

Abstract: Let $G$ be a finite $p$-group. How many abelian subgroups of a given order does $G$ have $\pmod p$? Elementary abelian? What about normal abelian or normal elementary abelian? This type of questions we will try to answer, for any subgroup-closed class $\mathfrak{X}$ of finite groups, in this joint work with S. Aivazidis. Relations to known results, a sharpened version of a celebrated theorem of Burnside and some open questions are also presented.

Mathematics

Audience: researchers in the topic


Greek Algebra & Number Theory Seminar

Organizers: Dimitrios Chatzakos*, Maria Chlouveraki, Ioannis Dokas, Angelos Koutsianas*, Chrysostomos Psaroudakis
*contact for this listing

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