In the present paper, we consider one infinite series of finitely generated infinite p-groups (hence not locally finite p-groups), so called GGS-groups. We ...
Maximal Subgroups of Some Non Locally Finite p-Groups 1131. (3) ki properly divides ki+1, i.e. mi+1 = ki+1 ki. ≥ 2, and the product decomposition. (1.1) of Mi ...
Oct 22, 2024 · In the present paper, we consider one infinite series of finitely generated infinite p-groups (hence not locally finite p-groups), so called GGS ...
Maximal subgroups of non locally finite p-groups - the MPIM Archive
archive.mpim-bonn.mpg.de › eprint
Dec 23, 2020 · Pervova, E. L. (2002) Maximal subgroups of non locally finite p-groups. MPIM Preprint Series 2002 (158).
Aug 25, 2020 · Bibliographic details on Maximal Subgroups of some Non Locally Finite P-groups.
Apr 29, 2016 · They always exist in nontrivial finite groups, since you can begin with the trivial subgroup; if it is maximal, you win, and if it is not then ...
Aug 9, 2017 · G has a minimal subgroup say L isomorphic to Zp and a maximal subgroup say M isomorphic to Zpq containing properly L (p and q are some distinct ...
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Minimal nonabelian and maximal subgroups of a finite p-group
web.math.pmf.unizg.hr › glasnik › vol_43
Abstract. The p-groups all of whose nonabelian maximal subgroups are either absolutely regular or of maximal class, are classified. For the main result of the ...
If G is finite, then G always has maximal subgroups; if G is infinite, it may have no maximal subgroups. For example, let G = Q, the additive group of rationals ...
Nov 11, 2019 · Suppose that G is simple and has M as a maximal subgroup. Let P∈Sylq(M) and Z=Z(M). So |P|=q2 and |Z|=q with Z<P. Since M is maximal in G and M ...