Finite Groups with ℙ-Subnormal Sylow Subgroups
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DOI: 10.1007/s11253-021-01872-8
Abstract: Let ℙ be the set of all prime numbers. A subgroup H of a finite group G is called ℙ-subnormal if either H = G or there exists a chain of subgroups H = H0 ≤ H1 ≤ … ≤ Hn = G such that… read more here.
Keywords: subnormal sylow; finite groups; sylow subgroups; groups subnormal ... See more keywords
Corrigendum to “Brauer characters and normal Sylow p-subgroups” [J. Algebra 503 (2018) 265–276]
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DOI: 10.1016/j.jalgebra.2018.03.032
Abstract: Abstract The statements of Claim (1) in the proofs of Theorems 2.6 and 3.3 in [1] are incomplete. In this corrigendum we fix these errors and some other typos. read more here.
Keywords: sylow subgroups; characters normal; corrigendum; normal sylow ... See more keywords
A note on restriction of characters of alternating groups to Sylow subgroups
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DOI: 10.1016/j.jalgebra.2018.11.026
Abstract: Abstract We restrict irreducible characters of alternating groups of degree divisible by p to their Sylow p-subgroups and study the number of linear constituents. read more here.
Keywords: note restriction; sylow subgroups; alternating groups; characters alternating ... See more keywords
Conditions for Sylow 2-subgroups of the Fixed Point Subgroup Implying Solubility
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DOI: 10.1017/s0013091518000251
Abstract: Abstract Let A and G be finite groups and suppose that A acts via automorphisms on G with $(|A|, |G|)=1$. We study how certain conditions on the Sylow 2-subgroups of the fixed point subgroup of… read more here.
Keywords: sylow subgroups; conditions sylow; subgroups fixed; point subgroup ... See more keywords
The FSZ properties of sporadic simple groups
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DOI: 10.1142/s0219498819500166
Abstract: We investigate a possible connection between the [Formula: see text] properties of a group and its Sylow subgroups. We show that the simple groups [Formula: see text] and [Formula: see text], as well as all… read more here.
Keywords: sporadic simple; sylow subgroups; simple groups; formula see ... See more keywords
Number of Sylow subgroups in finite groups
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DOI: 10.1515/jgth-2018-0010
Abstract: Abstract Denote by νp(G){\nu_{p}(G)} the number of Sylow p-subgroups of G. It is not difficult to see that νp(H)⩽νp(G){\nu_{p}(H)\leqslant\nu_{p}(G)} for H⩽G{H\leqslant G}, however νp(H){\nu_{p}(H)} does not divide νp(G){\nu_{p}(G)} in general. In this paper we reduce… read more here.
Keywords: sylow subgroups; number sylow; subgroups finite; finite groups ... See more keywords
Finite Groups with Some Subgroups of Sylow Subgroups s∗-Semipermutable
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DOI: 10.1556/012.2021.58.2.1490
Abstract: We introduce a new subgroup embedding property in a finite group called s∗-semipermutability. Suppose that G is a finite group and H is a subgroup of G. H is said to be s∗-semipermutable in G… read more here.
Keywords: finite groups; subgroup; sylow subgroups; subgroups sylow ... See more keywords
A note on the conjugacy problem for finite Sylow subgroups of linear pseudofinite groups
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DOI: 10.3906/mat-1604-11
Abstract: We prove the conjugacy of Sylow 2-subgroups in pseudofinite Mc (in particular linear) groups under the assumption that there is at least one finite Sylow 2-subgroup. We observe the importance of the pseudofiniteness assumption by… read more here.
Keywords: sylow subgroups; finite sylow; problem finite; conjugacy problem ... See more keywords