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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