Finite self-similar p-groups with abelian first level stabilizers
We determine all finite p-groups that admit a faithful, self-similar action on the p-ary rooted tree such that the first level stabilizer is abelian. A group is in this class if and only if it is a split extension of an elementary abelian p-group by a ...
Berlatto A. +9 more
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Finite groups with gcd(χ(1), χc (1)) a prime
The aim of this article is to study how the greatest common divisor of the degree and codegree of an irreducible character of a finite group influences its structure. We study a finite group GG with gcd(χ(1),χc(1)){\rm{\gcd }}\left(\chi \left(1),{\chi }^{
Gao Li, Wang Zhongbi, Chen Guiyun
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Groups of Order 2048 with Three Generators and Three Relations [PDF]
It is shown that there are exactly seventy-eight 3-generator 2- groups of order 2^11 with trivial Schur multiplier. We then give 3-generator, 3-relation presentations for forty-eight of them proving that these groups have deficiency ...
Communicated Alireza Abdollahi +3 more
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On the Order of Polynilpotent Multipliers of Some Nilpotent Products of Cyclic $p$-Groups [PDF]
In this article we show that if ${\cal V}$ is the variety of polynilpotent groups of class row $(c_1,c_2,...,c_s),\ {\mathcal N}_{c_1,c_2,...,c_s}$, and $G\cong{\bf {Z}}_{p^{\alpha_1}}\stackrel{n}{*}{\bf {Z}}_{p^{\alpha_2}}\stackrel{n}{*}...\stackrel{n}{*
Mashayekhy, Behrooz +1 more
core
Cumulene carbenes in TMC-1: Astronomical discovery of <i>l</i>-H<sub>2</sub>C<sub>5</sub> <sup>★</sup>. [PDF]
Cabezas C +6 more
europepmc +1 more source
Detection of deuterated methylcyanoacetylene, CH<sub>2</sub>DC<sub>3</sub>N, in TMC-1. [PDF]
Cabezas C +6 more
europepmc +1 more source
Discovery of the acetyl cation, CH<sub>3</sub>CO<sup>+</sup>, in space and in the laboratory. [PDF]
Cernicharo J +12 more
europepmc +1 more source
New Insights and Methods for Recording and Imaging Spontaneous Spreading Depolarizations and Seizure-Like Events in Mouse Hippocampal Slices. [PDF]
Lu YL, Scharfman HE.
europepmc +1 more source
Automorphisms of p-groups of maximal class
Juhasz has proved that the automorphism group of a group G of maximal class of order p^n, with p\ge 5 and n>p+1, has order divisible by $p^{\lceil(3n-2p+5)/2\rceil}$.
Caranti, Andrea, Mattarei, Sandro
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Erratum to: “Solitary quotients of finite groups”
Tărnăuceanu Marius
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