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Fuzzy Sylow subgroups

Fuzzy Sets and Systems, 1992
The author defines fuzzy Sylow \(p\)-subgroups of a group \(G\). Some of the results are: (i) A subgroup of a finite group \(G\) is a Sylow \(p\)-subgroup iff its characteristic function is a fuzzy Sylow \(p\)-subgroup of \(G\), (ii) If \(\mu\), \(\theta\) are two fuzzy Sylow \(p\)-subgroups of \(G\) such that \(\text{Im }\mu = \text{Im }\theta\), then
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On the permutability of sylow subgroups with Schmidt subgroups

Proceedings of the Steklov Institute of Mathematics, 2011
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Knyagina, V. N., Monakhov, V. S.
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On preferential Sylow fuzzy subgroups

Quaestiones Mathematicae, 2017
In this paper, for a prime p, we propose some plausible denitions for the notion of Sylow fuzzy p-subgroup of a nite group. We derive a number of results for nite fuzzy groups using one of the proposed denitions. We also discuss some of the relationships between various proposed denitions for suitability, including the crisp case, with some examples ...
B.B. Makamba, V. Murali
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ON SYLOW SUBGROUPS OF LINEAR GROUPS

Mathematics of the USSR-Sbornik, 1990
Main result is Theorem. Let G be a p-solvable finite group which has a faithful irreducible (complex) character of degree \(n=2p-2\), where \(p\geq 3\) is a prime number. Then if a Sylow 2-subgroup of G is abelian then the Sylow p-subgroup P of G is invariant in G. - The proof is based on Theorem.
Romanovskij, A. V., Yadchenko, A. A.
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Rationality and Sylow 2-subgroups

Proceedings of the Edinburgh Mathematical Society, 2010
AbstractLet G be a finite group. If G has a cyclic Sylow 2-subgroup, then G has the same number of irreducible rational-valued characters as of rational conjugacy classes. These numbers need not be the same even if G has Klein Sylow 2-subgroups and a normal 2-complement.
Navarro, Gabriel, Tent, Joan
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