8 citations · 11 across the 6 of their papers we have counts for
6 papers
Products of finite connected subgroups
M. P. GÁllego, P. Hauck, L. S. Kazarin +2
For a non-empty class of groups , a finite group is said to be an -connected product of the subgroups and if for a…
Thompson-like characterization of solubility for products of finite groups
P. Hauck, L. S. Kazarin, A. Martínez-Pastor +1
A remarkable result of Thompson states that a finite group is soluble if and only if its two-generated subgroups are soluble. This result has been generalized in numerous ways, and…
Quasi-Antichain Chermak-Delgado Lattices of Finite Groups
Ben Brewster, Peter Hauck, Elizabeth Wilcox
The Chermak-Delgado lattice of a finite group is a dual, modular sublattice of the subgroup lattice of the group. This paper considers groups with a quasi-antichain interval in the…
An Improved Majority-Logic Decoder Offering Massively Parallel Decoding for Real-Time Control in Embedded Systems
Juliane Bertram, Peter Hauck, Michael Huber
We propose an easy-to-implement hard-decision majority-logic decoding algorithm for Reed-Muller codes RM(r,m) with m >= 3, m/2 >= r >= 1. The presented algorithm outperforms the be…
Groups Whose Chermak-Delgado Lattice is a Chain
Ben Brewster, Peter Hauck, Elizabeth Wilcox
For a finite group G with subgroup H the Chermak-Delgado measure of H in G refer to the product of the order of H with the order of its centralizer, C_G(H). The set of all subgroup…
Efficient Majority-Logic Decoding of Short-Length Reed--Muller Codes at Information Positions
Peter Hauck, Michael Huber, Juliane Bertram +2
Short-length Reed--Muller codes under majority-logic decoding are of particular importance for efficient hardware implementations in real-time and embedded systems. This paper sign…